Many of the Sega and Square Enix games are great; Jet Set Radio, Crazy Taxi, various Final Fantasy games, all that...
Lego Star Wars, Limbo, Sonic CD, Tomb Raider (PSOne version) and most of the Gameloft games are direct rip offs of your favorite console games!
There is a great series of games that were released on xbox and other consoles and were ported to ios. I think it's called angry birds, but I'm not 100% sure if that's the correct name. If pure console gaming is what your looking for than I suggest downloading Atari's Greatest Hits, it has everything from Missile Command to Centipede. But seriously, what kind of game are you looking for because there are many genres and each genre has a bunch of high quality games for ios.
GTA: SAN ANDREAS XCOM DEUS EX THE FALL(it's not a console game(not yet) but now it's also on PC,and seem will be ported to console)if you like the genre,it's my iOS game of the year.. GTA VICE CITY GTA 3 MAX PAYNE Then there're a lot of AAA Games that have the name,but instead to be a port,they're exclusive GAMES for iOS,like DEAD SPACE..
I do not understand what you mean,if you kindly explain the meaning of you're reply'Give this person a cookie' thanks..