Tekken? Nah. It's a four button game, and you only need to map the shoulder buttons if your character has a good move with a weird button combination like Square+Circle. Street Fighter Alpha 3 really needs all 6 buttons, though.
You might want to search for a RetroAchievements collection of PlayStation Portable games.
Check each game's entry on PCGamingWiki. They're a good resource for finding what it takes to get old games running well on modern PCs. A lot of times, the answer is either "buy it on Steam and use a community-made patch" or "buy it on GOG".
I'm curious, what games are you trying to get working?