Ah the good old Samurai Pizza Cats, loved the anime back in the day. As for FF3J, I played it through it via-emulator translated rom years ago(back in 1999 I think) and loved the game. I guess it was more of exciting because it's like "oh wow this game came out only in japan and I am playing it!" factor. I remember a couple of years ago seeing a video on youtube of a lot of Famicom games and there was one that plays like Zelda, not sure which one it is but I remember when they won the battle they would raise their swords in the air as a celebration thing. That's about it...if anyone can tell me the name of it!
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I don't know if this is relevant, but one of my sister's friends started examining the things on my desk, picked up TMNT 2 for Famicom, and asked- "what is that?" I responded "A Famicom cartridge. You know, the Famicom had-" And before I could even finish my sentence, she said "you're weird." and then walked away.
My Famicom collection should show up next week (it's on its way from Japan, along with all of my other classic games and consoles!) so I can provide some recommendations (and possibly pics, if you want) later next week.
I have several of the games already recommended in this thread along with several other gems I picked up during my 4+ years of living in Japan.
My favorite Famicom game is Crisis Force. It is a vertical scrolling shooter. My second favorite is Gun Nac. It also is a vertical scrolling shooter.