I'd put the Springfield and the rolling block at the top of the list, then the Mauser 71, the Snider, and the Martini-Henry at the bottom. The M-H was awesome for its intended use, but the lack of any kind of safety makes it a poor choice for hunting. Plus, the ballistics aren't really superior to the .45-70, and the brass and bullets are harder to get.
The Snider is a bit safer, thanks to the hammer. The brass is expensive, but lasts longer than M-H brass. The accuracy and ballistics aren't bad, as long as you load with BP and avoid the smokeless squibs that some people advocate. The rainbow trajectory leaves very little margin for error when estimating range, so get lots of practice!
The Mauser 71 is great, relatively modern, easy to load, has a real safety, and good ballistics. The lack of an ejector does take some getting used to, after using modern bolt actions. The Mauser would be tops if brass wasn't so hard to get. Also, some of the long rifles have accuracy issues due to the method of attaching the nosecap.
The Springfield is generally accurate and reliable, has good sights, and most have both half and quarter #### notches on the hammer. It seems safer somehow, when the hammer isn't so far away from the pin when the rifle is "on safe". It also has an ejector that throws the empty cases clear of the action. .45-70 reloading components are everywhere, and relatively inexpensive. There are entire books about loading cartridges specifically for it. Stay away from Custer's copper cased ammo, and the Springfield will make you very happy. If you can afford one....
The rolling block is number one, it is simple, safe, and strong, field strips in seconds, and is one of the few old rifles that you can easily clean from the breech. Parts are readily available, and you can re-barrel the action easily to whatever calibre suits you. The stock does have rather excessive drop, and the design makes it nearly impossible to rectify that, without looking ridiculous. The best thing about the RB, is the price. Most folks can still afford one!
I don't even mention the Sharps, Ballard, High-Wall, etc. because only oil barons can afford them.
