There have been a number of recent news articles about some new rules/regulations in Rome and a promised effort to better enforce some - like bans on wading in the fountains - which have already been on the books for awhile. Some affect locals as well. Just a few of the pieces I've seen:
https://www.theguardian.com/world/2019/jun/07/rome-clamps-down-on-tourists-uncouth-behaviour
https://www.apnews.com/b13ef5e758154bfe8ca4dc9436584e5f
Obviously it won't be possible to catch EVERY tourist putting lips on nasoni, and the new regulations banning hanging laundry on overhead wires will be tough on some of the locals (and sadly put an end to some colorful snapshots). Chasing away roaming ticket/tour sellers and gladiator touts? The authorities can't be everywhere at once, and I believe they tried to ban the gladiator touts once before so we'll see how it goes this time, eh? I also wonder how much signage some of this is going to involve, e.g. "No wheeled strollers or bags on these steps!"
Anyway, I haven't located a source for the complete list in Italian but maybe some of our more fluent speakers can lay hands on one.