-Final Fantasy with seamless huge detailed world and towns and dungeons
-New Grand Theft Auto with detailed city and better NPC AI, running at 60 fps.
-Silent Hill
-Gran Turismo with dynamic weather/time and real city maps where you can drive à la Midtown Madness, anywhere you like. If you have the PSP+GPS connected, the map+weather+traffic data is received via the GPS.
Edit: Oh, and not to forget some Nintendo stuff:
-Zelda, I prefer a more cartoony looking Zelda than going for a realistic look, but with effects x 100000. A 'painted' fantasy animation look Zelda would look amazing!
-A Mario RPG with conventional (Toy Story, Shrek...) type 3D graphics, huge, detailed worlds....
-Metroid
-Pikmin Urban Adventure: A Pikmin game set in a big town with parks people, traffic and all.
Edit: That Urban Pikmin idea is starting to grow on me. Just imagine you'd be in a city avoiding all the associated dangers. A next gen NIntendo should be capable to render the world in such a detail that a sense of you being tiny small in a big city could be effectively reproduced. The viewpoint should mostly remain that of from ground level, to be effective.
And some good old scripted adventure game brought technically up to date. An entertaining, humorous, exciting story like Lucasarts used to make them (thanks l-b for bringing back the memories of Manic Mansion in an earlier thread).
Overall I'd like the developers to consentrate more on the athmosphere and emotional impact on graphics and stories. More distinct graphical styles that serve the game well, take for example ICO. There's too much of thet "shiny shine bumpy bump glossy gloss" 3D in games that makes them too generic looking.