Thuamcraft 4 Arcane bore, Steve's Carts mining cart, Rotarycraft boring machine, QuarryPlus, the quarry from Buildcraft, the miner from IC2, ComputerCraft turtles. There is supposedly some way to mine with MFFS but I have yet to touch that mod.
There are also some other ways to generate resources without mining: bees, magical crops and the MFR laser drill
Blood magic can automate mining but it is a bit involved, one of the rituals pulls ores to the surface where they can be mined. Another ritual can call a meteor full of materials from the sky to destroy your base provide you with lots of resources. The bound pickaxe can mine large areas very quickly (don't keep it in your hotbar and test it somewhere you don't care about)