Simple as the title says, recommend some games. New or old, I don't care. Here's what I've played, and some things that bother me to narrow things down.
I've played D&D4e and 3.5 (dislike 4e due to super excessive focus on combat to the detriment of EVERYTHING else, and characters being really pidgeonholed into their roles), Pathfinder (which I prefer to 3.5 for fixing some really crap mechanics, i.e. grappling and the draconian skill system), and Call of Cthulhu (which I have problems with... everyone has the mentality that if you're the DM, your job is to kill the players in horrible ways. If you're a player, your job is to have a ton of characters made so when you inevitably get killed / go insane because of the killer DM, you can keep playing, even though there's absolutely no chance of winning. I think this is wrong, even if it is how Lovecraft stories go. It's a game, and games should be winnable, and you shouldn't have to put a ton of characters through a meat grinder to do it).
I have the Mutants and Masterminds core book (and Mecha and Manga) and I'm currently reading through them. Is there no character progression in this? o.O
Pet peeves include dice pools, lack of character customization, excessively high odds of death even if you're playing well, excessive focus on ONE aspect of a game (looking at you 4e), and really confusing / cluttered presentation in the books. Looking at a 3.5 book and then a PF book is like night and day to me... if there's one thing I like that PF did, it made all the books gorgeous and easy to navigate, and for the most part there aren't many tiny situational rules you have to dig for (mostly).