>Or, just as bad, "Between you and I". People were told at school "It's not 'me and Jim went fishing', it's 'Jim and I'". So they think it's always that way and say "Give it to Jim and I".

That one is sooooo easy to correct mentally before you say it. Just ask yourself if "Give it to I" is grammatically correct. If you answer yourself out loud, then you have bigger problems. :)