Being a long time fan of the 45-70- here's the facts. An original "Trapdoor", if it's in sound mechanical condition it's safe to shoot with black powder level power loads. Due to barrel steel alloy and bore size, I'd avoid any modern jacketed bullets in it and go back to basics- a cast lead boolit and black powder. The jacket on the modern bullets can possibly cause damage and wear to the bore that a lead boolit would not. Don't damage an irreplaceable original that is otherwise safe to shoot. If you don't "hand load", then I'd seek out ammo set up specifically for the "Trapdoor" and be very cautious about any modern ammunition. Be forewarned, this is seriously addictive.
As for available power levels in the ammo, 45-70s come in a range of action strengths. Lowest strength is the "Trapdoor" and top of the pile is the Ruger #1 and Siamese Mauser. Lever guns are a bit under those two. Modern production Sharps are in a gray zone as they are only proofed for black powder so don't think it's just like a Ruger cuz it's got a falling block. Nor think an original 1886 Winchester is as strong as a modern one due to steel alloy. But on that modern one, don't think it's as strong as a Ruger. As for the Ruger and Mauser, they are both capable of power approaching a 458Winmag with recoil to match. The 45-70 is an amazingly versatile cartridge but it's easy to get into trouble if you don't know what you're doing.
If you are a reloading type, the cartridge can be loaded down to "gallery" level loads for plinking or loaded up to take any critter on this continent and in most of the planet. Even in the "anemic" level Trapdoor loads, the plain 400g or 500g lead bullet will perform far better than what the paper stats would indicate. Paper stats don't cover things like momentum and that heavy, slow bullet will pass right through most game on this continent.
Back to the ACW stuff.