Most tetras will be fine, especially when kept in the proper numbers. Some can be nippy, like serpae or even skirts, but neons, cardinals, glowlights, etc. are not nippy in the least.
Most of them in my experience, if kept in the right set up and in the right numbers tend to do well. Serpae, Black Skirts, and Emperors are three I've had nip but that's about it. I've kept quite a few species over the years. My favorite will always be ember tetras though.