Similar in power input and item output? Impossible, since RP2 Frame Quarries ran on solar power with enough energy stockpiled during the day to run at full speed at night. They were insanely cheap to run(perhaps not to build) and ate whole chunks at a time, one layer at a time.
Assuming you don't mind actually spending some energy and resources, I'd suggest looking into Buildcraft for it's Quarry. But you have to manually move it now and then, as well as supply power that isn't totally free and easy to get.
If you MUST have a self-moving mining system, try Railcraft and it's Tunnel Borer, which doubles as a decent auto-miner, if only in one direction. Steve's Carts 2 has some cool ones as well, but you may not like the cost of a useful drill, since the very best one doesn't break, and costs a massive amount to build.
A underused option is the IC2 Miner, which, since this is FTB and you don't have to make the config changes yourself(hopefully!), should mine everything you already can get, but has a lower impact on the world since it digs a one block hole and mines near that.
A recent addition to the mining systems out there is Mekinsim and it's Digital Miner, which can even silk touch stuff for you if programed correctly(IIRC), leaves no holes in the earth save for where the ores were, and plain ol' looks sexy.
At the complete opposite side of cost in terms of resources and power is the MFR Laser Miner, which got a massive buff since Powercrystals stopped working on it(again...), able to mine up quite literally anything in FTB and likely beyond, from under the bedrock. Hint: It's just making ores from energy at this point. You may need a super powerful source of energy at this point to run the bloody thing, Big Reactors is a good choice at this point by the way, but it's damn fine with the ore output.
Or if you MUST have a automated mining system like a RP2 Frame Quarry, try MFFS, it has a way to move it's force fields(and emitters) and break blocks as well. Not as cheap as RP2 but just as functional.