Abe's Oddysee
Abe's Exxodus
Tekken 3
Metal Gear Solid
Final Fantasy VII (7)
Final Fantasy IX (9)
Legend of Dragoon
Parasite Eve
(any Squaresoft RPG really)
Resident Evil 1, 2, and 3 (But especially 2)
Silent Hill
Tony Hawk Pro Skater 2
Tony Hawk Pro Skater 3
Need for Speed: Hot Pursuit
Gran Turismo 2
Collin McRae Rally
Jet Moto 2 (I believe the "Champion" edition, or greatest hits version is a slight upgrade in performance)
NFL Blitz (best football game ever, and I don't even like sports games)
Bust-a-Move 2 (or '99)
Street Fighter Alpha 3
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If you like weird FMV type games:
Fox Hunt (kind of expensive but cool imo)
D
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One I love and is SUPER cheap:
Board Game Top Shop
it's kind of like Monopoly but different.
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Also I think that Demo Disks are cool to collect, and they also can serve the same purpose they used to: To let you try out some games. I'll bet they're super cheap and readily available.
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Here's 2 more games that I like a lot but might not be for everyone, also cheap:
-Fisherman's Bait: A Bass Challenge
(This is not a normal fishing game. It's a port of a Konami Arcade game about fishing. The only other arcade fishing game kind of like it is SEGA Bass Fishing, which is also very good. BTW I tried this as a kid on a demo disk and played it all the time. I thought I would love fishing games after that but everything else I tried was no fun. This one is fun)
- Caesar's Palace 2000
(Casino Game)