Mine does pretty good with all the jacketed bullets I have tried - both handloads and factory ammo - usually around 1" groups at 50-yds. Cast bullets, on the other hand, have proven to be an enigma, at least in my barrel. I can barely keep semi wadcutters on the target, regardless of the load. Surprisingly though, the round nosed cowboy action type bullets will shoot nearly as good in my barrel as Jacketed bullets. I have worked up a load using Hornady 125 gr. XTP hollow points that I am going to try on deer this fall. It should be okay out to 100-yds. but I am going to try to restrict my shots to about 50-yds. or so.
Due to the problems I had with cast bullets I posed the .357 accuracy question on this board before. Most of the responses said the their barrels shoot well, even using .38 specials and even at 100-yds. I have three barrels for my Handi: the aforementioned .357, a .22 Hornet, and a .223 Rem. (which was on the gun when I bought it). Both .22 barrels are tack drivers. The .223 barrel, in particular, shoots everything I have tried in it almost to the same of impact at 100-yds. I am still not completely satisfied with the accuracy from my .357 barrel but I guess it will suffice for my uses.