I think any of them, Yaesu is really popular as they are affordable and good quality, I could easily recommend them (not that I have firsthand experience, just purely going by what I've heard). I hear people talking about the Yaesu FT-65R pretty often and it should be around $100. It covers the usual VHF (2m) and UHF (70cm) bands. Icom and Kenwood are popular as well, but usually a bit more pricy (though probably for good reason, they seem great). Anyone else who sees this comment feel free to chip in with your experience with HTs in that price range! :)
Seconding this recommendation. I have an FT-60 that I'm happy with, and think the 65R sounds good for your price range.
I have an FT65, it works well. It is less susceptible to being overloaded by nearby strong signals than the Boafeng. Easily worth the extra.
If you can spend a bit more, get an HT that includes DMR.
Wow, didn't except a downvote for that comment. This isn't reddit folks. Having seen a demo of digital voice on HF by Bruce Perns K6BP, I'm sold that digital voice is a good addition to Amateur Radio.