Games that don't save high scores don't tend to catch my interest much. Play it a few times, and unless its really fun...where is the replay factor? Especially if you complete the game?
Games that also use a fixed scoring system I don't like, unless the gameplay is fun. My TMNT for instance, you have fixed # of baddies and thus a fixed score. You can't aim for anything but a perfect game really, and there's no bonus even for not losing a man etc. I've long gotten as high a score as I can possibly reach really.