Same designer, a lot of the same systems. Personally I think BoW is the better game because of the license and the advanced rules for combat (which are completely optional, btw; you can play it as a normal Commands & Colors game, though I find the hit odds on the game's D8 system to be way less forgiving than the D6 system in other C&C titles). Downside is that you need to glue all the figures. But if you like ASoIaF, it recreates a lot of the battles mentioned in the books (specifically in Clash of Kings), some random non-canon battles, and it also has a nice random scenario generator that is slightly similar to the one in Battlelore 2.0 that allows you to do fun What If things, like what if Ned took the field against Tywin? The expansions all add additional mechanics that are house specific and rather thematic (Tully knowledge of the Riverlands helps them find crossings over rivers, their renowned archers are beefed up compared to normal archers, etc.). The Baratheon expansion has the entire Battle of the Blackwater that you can play with up to eight(!) players in two teams of four across three connected micro-scenarios. Haven't done that one yet, but am eager to.
If, however, you like a more straightforward game, Battlelore 2.0 is probably your better bet. I prefer the deeper complexity and strategy in BoW, but they're both fine games.