Metal Gear Solid 2, Resident Evil 4, Most of the Ratchet & Clanks, Jak & Daxter... Just a lot of PS2 games. I used to play far fewer games back then so I'd consume as much of their content as possible. I'd sometimes play one game for two or three months.
The most impressive(?) though is that I did everything in We <3 Katamari. All the cousins, the entire collection with hundreds, possibly over a thousand items annnnd most importantly collecting one million roses. That's something only crazy people go for... The reward. The title screen now says "One million roses fabulous". I have S-Ranked two Katamari games with achievements/trophies and neither of them have anything as crazy to do as that game.
MGS 2 and Resident Evil 4 definitely have achievements. Compare the list and see if you manage to do everything on it.