Some of the bear experts on here will more than likely have better info as I have only been calling since last year....
But I have had success on elk calf in distress, fawn and rabbit. The key is, to set up correct (watch the wind, find a good point to be able to see whats coming, dont move) and not lose patience. I like to use fawn or calf in distess for bear mostly, as I think it is a bigger meal and therefore may attract bigger predators more often....a rabbit is a small meal for a bear and therefore may not interest it as much...but a fawn/calf...might be worth really checking into...that is solely an opinion.
Bears will sometimes take quite a while to come to a call...up to an hour or more. If you are in an area where you believe there are bears, keep at it.
Give the call heart, meaning, try to really sound like you are getting torn up. Use emotion in it. Sound exhausted while you are winding down your calls...try to set up a situation for the animal in distress in your head and go off that (broken leg, caught in a fence, yotes are ripping into it, lost and lonely, etc)
Also, be ready, cause you never know what may be coming, and how hungry they are. Good luck to you and have fun.
I should say, I was referring to hand calls. I use Primo and Sceery calls, but I am sure there are other great ones out there...and made by hand available on this site as well!