I’ve got four platformers for the PS2: Jak and Daxter, Jak II, Ratchet and Clank, and Crash Bandicoot 4. Five if you include Orphen, which is an RPG which really plays a lot like a platformer, but I don’t really recommend it, even though I like it. Except for Crash, they are all really, really good games. Jak and Dexter is the least violent and most traditional of the four, using attack moves and no weapons, with a heavy emphasis on collecting everything; Ratchet and Clank plays like a platformer but generally uses various weapons instead of attack moves, but it’s really well designed and a lot of fun; Jak II has a sorta GTA feel to it in that you’re based in one city doing missions for others, with no important emphasis on collecting, new abilities, weapons added, and it’s a lot darker than Jak and Daxter. All three of these have wonderful graphics, a great control scheme, good physics, and so on. The new Ratchet and Clank game apparently adds a bit of an RPG element as well, but the reviews are very positive. That’s next on my list to buy.
Crash Bandicoot 4 isn’t very good. It has horrendous load times and the physics are all messed up. I’ve blown myself up far too many times by hitting a nitro that Crash isn’t actually very close to. I blame this on the new development team, since Naughty Dog (who make the Jak and Daxter games) quit after Crash 3. I highly recommend Crash 2 and Crash 3, both of which were for the Playstation and are now available as greatest hits, but I played the original Crash after 2 and never really liked the design as well, plus the whole “must it make it all the way through getting all the boxes with no deaths to get the gem” thing, which was changed for 2 and 3.
Insomniac, the people who made the Spyro the Dragon games, make the Ratchet and Clank games. I’ve only played the original Spyro, but that’s another very good game and the reviews I saw for the sequels were also very positive. I believe there hasn’t been a Spyro release for PS2, although I know there’s been a couple games developed for the GBA. I saw somewhere a box set of the three Spyro games for Playstation.
So, honestly, that’s my suggestion. I don’t like a lot of games other than platformers and RPGs, and any of the following platformers are very good and could be just what you’re looking for:
Crash Bandicoot 2
Crash Bandicoot 3
Jak and Daxter
Jak II
Ratchet and Clank
Ratchet and Clank: Going Commando
Any of the Spyro games