Should be banned because there are based on luck and may make RBY less atractive or not because there are just part of the game?

Using moves like that are normally only used to force your opponent to switch.

In Stadium, you get to experience the horror of Lance's Dragonair consistently using Thunder Wave & Wrap. Simply put, it forces you to either switch Pokemon (and get another Pokemon paralysed), or wait for him to miss once & hope you're not fully paralysed.

Yes, but if you switch out, the Pokemon you've already sent will get wraped.

Actually, not always.

The switch will reset the sequence, and cancel the "trap" move. If the pokemon you switch in is faster, then you'll have a decent chance of stopping the opponent from abusing the move more.

Yeah, that is the problem, is the wraper is faster, it will be able to use wrap again even if the wrap of the switch turn fail.

I actually think that the gimmickyness of those moves was one thing that made RBY so great. I mean, how awesome is it that a Pokemon can own another Pokemon...with wrap?

The only RBY move that I think should be banned is Hyper Beam. It doesn't force a recharge if the other Pokemon fients, so it becomes too easy to sweep entire teams if a Hyper Beam is fully charged up.