[link|http://www.insomniacgames.com|Insomniac] makes some great games. Their platform series [link|http://www.insomniacgames.com/games/spyro.php|Spyro] for the PSone is what got me back into consoles. The gameplay, control and music(by Stewart Copeland of The Police!) are all excellent. They all play fine on the PS2. Be warned that Spyro series for the PS2 were done by a different company, and they've all sucked hard.
For the PS2 Insomniac came up with [link|http://www.insomniacgames.com/games/rc.php|Ratchet & Clank] (sequels [link|http://www.insomniacgames.com/games/rc2.php|Going Commando] and [link|http://www.insomniacgames.com/games/rc3.php|Up Your Arsenal]) They're platform as well, but with all sorts of [link|http://ps2.ign.com/articles/375/375514p1.html|fun weapons & gadgets]. A lot of tongue-in-check too - R.Y.N.O = Rip Ya a New One.
Their [link|http://www.insomniacgames.com/games/rcftod.php|next R&C game] may be the deciding factor in me getting a PS3.
The Jak & Daxter series by [link|http://www.naughtydog.com/|Naughty Dog] is another good one. They also did the Crash Bandicoot series on the PSone.
Insomniac and Naughty Dog both put references to the other company's games in theirs(such as billboards with Jak & Daxter in one of the cities that Ratchet & Clank visit).