Is Roma Termini a great tourist site? How not to shop for a bargain.

Is Rome Termini a great tourist site?

Nope but often the best place to catch fast, onward trains.
Other than that, I'm not sure what your question is?

Slow travel FCO to Roma Termini (more than one option) and Lunch

You do not have to take a bus to Termini from Fiumicino, although that's the cheapest way, and the Terravision coaches (and similar shuttles) are comfortable and non-stop. Otherwise, you can take the more-expensive Leonardo Express train.

http://www.trenitalia.com/tcom-en/Services/Fiumicino-Airport

Edited to add, "...from Fiumicino" as I assume that's the airport you're flying into?

Is there good food options in the Roma Termini station?

No idea as we haven't had to eat there but they have quite a number of eateries plus a large mercato.

http://www.romatermini.com/en/store/index/food

Roma Termini incorporates some of the Roman walls, but there has been so much construction and security changes that you may only be able to see them from outside the station.

There are several food options, including an upstairs cafeteria-style restaurant. Several sit-down or takeaway places at the track level.

Sorry, I don't understand why don't you just buy a train ticket from FCO all the way to Naples? Why would you stay at Termini station if you are not interested in it?

I passed through Termini, arriving on the Leonardo Express from the airport. I was impressed with the station security, food vendors and general pleasant surroundings. Of course, I exercised my usual cautions, kept my things close and secure, but I do that anywhere.
As a tourist site in itself I would not choose it, but waiting for a train it is quite nice, great food, and interesting.

Sorry, I don't understand why don't you just buy a train ticket from
FCO all the way to Naples?

I'm sort of wondering the same. The trains from Fiumicino to Napoli change at either Termini or Tiburtina but you can buy a ticket that goes all the way through.

I'm in the minority, but I think every big train station in Europe is a worthy sight to see. But that's from someone who also likes to poke around a grocery or a convenience store while traveling, likes doing laundry in a foreign laundromat and looks and vending machines for a couple minutes when abroad.

It sure would not be on my list of sites in Rome to visit on purpose if that is your question.
A useful place you go because you need to not because you want to.

I usually try to figure out ways to avoid it and how much extra it will cost to do so.

I am sure you can get something decent to eat there.

If you can get somewhere quicker by by-passing I would choose that every time.

I eat often at Termini. The main floor has a very large cafeteria, it's kinda hidden way in the back behind some deli express shops and a coffee/pastry bar. But just keep looking for it and ask. It has a lot of options and I think it's tasty. Sandwich shops dot the hallways and there's a McDonalds at Termini. I had one awful lunch there, but most of the time it's ok.

Also, take the escalator down to the lower level where there is a Conad City grocery store. They sell a lot of individual-size packages of a wide variety of foods. Useful when I wanted to go back to my apartment for lunch or supper. It's a real grocery store too and fun to browse.

I bought my checked luggage bag at a store on the main floor in Termini. I bought my Italian phone and service at the TIM store on the top level of Termini.

Be advised that walking Termini is more like a contact sport cause it's very busy!

Really unclear about what you are asking ----- Termini is OK as a train terminal but not a great tourist site. Plenty of decent places to eat if you have to kill a couple of hours. It faces a large square or plaza that you can walk around and there are a couple of tourist site within a couple of blocks. There is absolutely no advantage or reason to buy base priced tickets on line. Buy them when you get there. The price is the same and that you can get the exact train that you need. You can buy the tickets at the airport ticket window when you buy the ticket for the Leonard Express. LE is an express train make no stops to Termini. There is also a local train (FM10 ??) that is cheaper and takes about 15 mins more because of a couple of stops. Both leave from the same station at the airport. However, make sure you validate your tickets prior to boarding.

Central train stations as a tourist site was a bit of tongue and cheek. My hope was to breeze through Roma Termini, due to unknowns on arrival at FCO I may be staying at Roma Termini prior to departure to Naples for a time. It seems the suggestions were just takes the LE to Termini but there are other options. If I have time the bus to Termini seemed like a good option. On another question someone commented that you may be able to buy tickets on the current sold out trains on day of service. Is this a possibility? Also, I had a laugh at myself when someone asked on another question if the person knew the competing train companies were listing prices differently. I, too, like Max can browse the main train station. I did have a good snack at Berlin's main. Thank you all for suggestions for cafeteria and grocery store. Zoe, now that I know there may be roman walls nearby I will scan for them. For all, I spent one week in Rome 30 years ago as a solo traveller. Remember, this was when you carried all you valuable on you, I did not speak infant italian, no one spoke english, and the Vaticum had few visitors but still restoration. At that time transportation was not that clear. Good thing I had walking shoes. My husband and I have traveled many times in Northern Italy off the beaten path with bikes or rental cars. We are planning to stay 3 nights in Rome at the end of the trip.

At some of the other train stations in Italy you need a one euro coin to drop into a turnstile to access the restrooms, so be prepared

On another question someone commented that you may be able to buy
tickets on the current sold out trains on day of service.

Just curious, why do you think the trains are sold out? What date are you traveling?

Kathy, thank you for your assistance. I am traveling on a Monday in the end of September. The day I am traveling at two times has a cart with a do not pass sign or no cart available. Can you believe it? Everyone says there are all ways routes and tickets. I checked other Mondays, because I could not believe it, and sure enough those two routes are available on other Mondays. Other times are limited availability. These two routes take up fast routes and leave IC or Regional choices. There are other fast choices available with a wait at Termini. It is a no point if the Italian train staff go on a strike. Who knows maybe RS Tours were sold all Tickets! Ha, Ha! Some of the Mondo Shared Tours in Naples are full during the time RS Tour are there with a single name. It can happen! It is not holiday!

It is a large station and an escalator goes down one level from the tracks - pretty good size shopping "mall" - the whole station has the typical "fast food" places.
As with any train station - watch your possessions very carefully. I have seen a good number of thefts while there. Also I wouldn't walk outside to the streets unless you have too.....not a very good area. But aside from that - I always enjoy train stations.

I am traveling on a Monday in the end of September. The day I am
traveling at two times has a cart with a do not pass sign or no cart
available

OK, I'm confused. I just plugged Fiumicino Aeroporto> Napoli Centrale into the Trenitalia site for Monday, Sept 25 at 10:00 or later, and only the 11:53 is shown as unavailable for purchase. The 10:53 is still open with just a 16-minute change at Termini.
10:53: Leonardo Express 3267 to Termini
11:41 : Frecciarossa 1000 9613 from Termini to Naples
Total time: 1 hr, 55 minutes.

The 10:42 is still open as well: Regionale to Tiburtina and Frecciarossa to Naples: 2 hrs and 11 minutes.

That said, I still wouldn't purchase tickets in advance in case of a delayed flight.

You want a good tourist site? The Baths of Diocletian, a 3 minute walk from Roma Termini station, basically across the street. Fabulous.

I will check it out, thank you! Kathy, good to know availability changes day to day! I will remain open and free for opportunities as long as I can make it to Naples upon arrival day or evening!

Availability doesn't change day by day.
As nobody purchases train tickets so early, sometimes Trenitalia closes bookings on some trains for various reasons using the "sold out " option. Nobody knows, nobody complains. Today there are no sold out trains on that route, why should everybody run to Naples on September 25?
Many trains are not open for bookins in September on various routes, I guess the reason to be new trains in service or new routes.

Airport trains always run, even in case of strike.
Same for most Freccia-something and all Italotreno's high speed trains. In case of strike you'll have to travel at 300 kms/h... amen.

If you can't forget about trains up to the 25th of September, you should really read seat61 webpage to get a panoramic view on train travel, stations, what to expect in case of strike and so on.

Trenitalia can randomly close and open route times before depart day. On September 25 route for Roma to Naples Trenitalia closed 2 depart times from 1000-1200 when I looked at the beginning of the week. Kathy, looked yesterday, one depart time is closed. Now, another look, all are open. I am looking forward to a fast train ride to Naples. I have placed potential times for depart in my travel notebook. Thank you all for the information and experience.