Just for starts, I'm assuming you're in Music City, so bear with me.
Yes, earning points is a repetitive process, but there are multiple games that give differing point values based on how successful you are. I'm not sure which arcade-style game you're talking about, but I'm sure that if you look around a bit, you'll find more games to have fun with.
Don't forget that there are other interactive features as well! For example, you can make your own CD and enter yourself into the music competition held weekly (although the rankings often dominated by the same players); if you do well, you can get point values as well as trophies based on how well you do.
I wish you luck on your point-making endeavours!
Oh, and if you're not in Music City and are instead in the v4.5 or v5 TamaTowns, I can't really help you there. I've dabbled a bit in the v4.5 virtual world, but there wasn't much worth playing or seeing, to be honest.