I really love the 9.3x62. It's a well rounded cartridge that does well with a wide range of bullet weights. I got my Tikka T3 Hunter in 9.3x62 used in mint condition for a very good price. The recoil was a bit of a handful compared to .308 and various 6.5 mm offerings, but a moderator helped a lot. After hunting with it for three seasons I replaced the factory stock with a laminate KKC Hunting stock, which provided excellent ergonomics and helped manage recoil even further.
After testing 286 and 250 grain bullets, I settled on the 220 gr Lapua Naturalis LR, not knowing it was already discontinued. Even when loaded moderately, these bullets provide reasonable ballistics and a good knock-down punch as proven on moose, boar and roe deer. Since the 220 gr Naturalis LR is discontinued I recently picked up a couple of boxes of 214 gr North Fork CPX, having had good experiences with North Forks in my previous .358 Winchester. I haven't tried these new ones on game yet but I foresee no problems - 9.3 mm is still 9.3 mm and packs plenty of punch.
As someone mentioned earlier, there are even lighter offerings. German manufacturers have plenty - from the 184 gr RWS Evo Green (sometimes cosplaying as Norma Evostrike, which is the same bullet under a different name) and its more affordable sibling Geco Zero, to 159 and 154 gr copper and brass bullets from SAX and MG. Theoretically you could be approaching screaming 300 WM performance with these (at least on shorter distances) but for my use cases I don't really see the point. Brass bullets is not my thing though, I don't want to make a perfect shoulder shot and still get damanged intestines.
