I still play PS2 a lot myself. The best one on the console, IMO, is shadow of the collossus. Some other good ones include marvel vs capcom, Final fantasy X, Summoner (and to a lesser extent Summoner 2), the Xenosaga series (now if only Namco would finish it *grumbles*), God of war (and to a lesser extent God of war 2), Area 51, Devil may cry and Devil may cry 2, Armored Core 2 (I hear 3 is good and 4 is ok), Indigo prophecy, Mercenaries, Silent hill 2 and 3, Resident evil 4, Star wars: Battlefront 2, and Ultimate spider man. That's just the collection I could see on my shelf from here. Theres a ton more I could recommend
Anyway, Skyrim...oh Skyrim. I love this game but the more I play it the more I see so many things that just keep it away from perfection. The UI is horrible, the "Trolls" look more like bigfoot/Yeti, the Dragons look more like Wyverns, the game doesnt seem to recognize accomplishments like me now being leader of the campanions and guards saying something like "So you just joined the companions. So you fetch the mead?" The allied characters like Lydia and Faendal seem to have no personality.
All the same, I still love the game but Bethesda really needed just a little more attention to detail to make the experience seemless