Besides the Hall, Dakota, Stevens, and numerous Sharps as mentioned above, there are also: (1) clones of the Hepburn, Ballard, and Borchardt; (2) a new action called the Fenris-Wolf; and (3) the older E.A.Brown Model 97 and Vaussenat V98 (a modern variant of the Heeren).

Some of the 1885 Browning clones have some modern niceties added, such as an inertia firing pin for a safer carry with the hammer down on a live round, this from Meacham.

I see Ballard has recently widened their line. In addition to the Ballard and the 1885, they offer a Hepburn as well (along with a rolling block) -- busy people.