You want to order a melange. Don’t order a latte. Overall, you go to a Viennese coffeehouse for the ambiance, not the coffee. Waiters will be rude, so be pleasantly surprised if they are not. Viennese make an afternoon out of a coffeehouse visit, so don’t drink and dash.
Cafe Cent - I think you mean Central? Very touristy but an amazing cake display. Not worth waiting in line for.
Cafe Fraunhuber - Pretty good choice for authenticity. I think you mean Frauenhuber?
Cafe Sacher - Cafe Sacher is tourist central and Sachertorte isn’t good, in my opinion.
Cafe Gerstner - good strudel
Cafe Hawelka - coffee only, good ambiance.
Cafe Jelinek - never been
Cafe Alt Wein - Wein = wine; Wien = Vienna; never been
Cafe Sperl - good choice
Cafe Imperial - never been
Cafe Landtmann - good choice; good strudel
Cafe Diglas - great for cakes
Cafe Hummel - never been
Check out these links - https://www.viennawurstelstand.com/guide/10-coffeehouses-that-have-inspired-viennas-greatest-artists-and-writers/
https://www.viennawurstelstand.com/guide/viennas-forgotten-coffeehouses-8-of-the-best-lesser-known-coffeehouses-where-the-locals-go/
https://www.viennawurstelstand.com/guide/10-cosy-cafes-perfect-for-chilly-autumn-days-in-vienna/
And most importantly, what you should know -
https://www.viennawurstelstand.com/article/ten-things-you-should-know-about-viennese-coffeehouses/