Just an addition:
Gently, the idea that power metal is not influenced (directly or indirectly) by Sabbath is ludicrous. It may be hard to see in the very polished modern European stuff, but that was inspired by 80s speed metal, which was in turn inspired by NWOBHM, and in turn, Sabbath. Most of those guys are also probably not Sabbath-naive either, even DragonForce,
The same goes for prog metal, although a lot of what gets called prog metal is just heavy prog. Queensryche and Dream Theater are prog-metal, and very Sabbath-conscious imo. Tool is a heavy prog/alt rock band, but even then, they're pretty Sabbath-influenced. I'd suggest doing some digging, try Wikipedia's page for "heavy metal music" and start from the beginning, if you really want to understand in depth.
Also check out Running Wild, Grave Digger, Scanner, Manowar, Helloween, Jag Panzer, Blind Guardian etc. if you want some more metal-loyal power metal.