Hello,
First, one brief comment: even when a game isn't "accessible", there are usually work arounds.
Some examples:
1. For menus, remember how many times you have to press the button / joistick to get to an option.
2. Yes, I know we are trying to avoid sighted help, but maybe one time, have a sighted person describe the area and make a mental map.
These are what helps for me because I am very good at imagining things, I'm not guarnteeing this to work for anyone else, but it does for me. Your mental maps also improve by experience.
Now, accessible videogames... I'm afraid I have never been a playstation/psp fan, but here are my nintendo experiences:
The Alstar Baseball Series:
Easy to memorize menus,. The pitching is very accessible; the controler rumbles when you're out of the strike zone. Batting is very dificult if you're not pitching to yourself, the only ifeedback you can really get is the anouncer saying here comes the pitch. Speaking of the anouncers, they do a great job of telling what's going on.
Tony Hawk Pro Skater Series: Again, easy menus. Doing flat tricks is very easy, fun, and accessible, but you need mental maps to know where the street obsticles and ramps are.
Super Smash Brothers Series: Menus(actually only character selection) are dificult; need massive memorization and still isn't always accurate, but the rest are straight forward. Fighting is simple; it's almost easier to fighter a higher ranked opponent so that they come to you. Using roy and marth is amazing because you can time there reflect(not sure what it's really called) attack and do tons of damage.
Hopes this helps at least someone.