I've kept Bodianus axillaris with Bodianus rufus before. No issues. Also kept Bodianus bimaculatus with Bodianus sepicaudus without issue.
IMO any larger species of wrasse will be more likely to fight, but if they're juveniles, it should be much easier to do so. I recently added a Cheilinus chlorourus to my 240 with an existing Cheilinus fasciatus, and after a bit of posturing for 48 hrs, the 2 completely ignore one another. If you're going to do it, do it in a large tank, feed heavily before introduction, and try to add multiple other fish at once to help as distractions. Have a game plan ready to separate if needed. Dividing the tank in half with eggcrate to help them get used to one another also helps if they initially don't get along.
I'd still like to add a Bodianus or 2 (B. rufus and B. axillaris or B. mesothorax) in my 240, along with a couple other big boy wrasses. I currently have Thalassoma hardwicke, Cheilinus fasciatus, and Cheilinus chlorourus in there. I'd also love to add Cheilinus lunulatus (miss my old one and haven't found one within my budget), Coris gaimardi, Halichoeres bivittatus (to replace my old one), Gomphosus varius, and possibly another Thalassoma (perhaps amblycephalum, lutescens, or bifasciatum? Definitely avoiding the lunare after my last couple experiences with them). Also tempted to try a larger male Halichoeres melanurus in here, since I'm pretty sure the Halichoeres cosmetus and Halichoeres marginatus in my 100 gallon would kill one if I added it.
