My ceiling fan makes the entire house smell like a bandaid! Anyone know what this is?

I have the same problem. Just bought a real expensive Hunter fan. Are you still having this problem?

New fans may have a smell that will disappear after a few days of use. If it is an old fan I am concerned. Year/make/model?

BTW most common reason for smoke/smell on an old fan is capacitor failure:

Ceiling fan capactors - troubleshooting and resources - Ceiling Fans N More