I genuinely want to understand why people like it as much as they claim. I played it and thought it was good, but not great. It just reminded me too much of DMC, but with a female protagonist instead. I do have an interest in Bayo2, but i know i won't pick it up cause my wife won't have it, haha.
I tried to explain some of it to you, although I didn't go into details for gameplay specifically, everything about the game was just nigh on perfect. The music, graphics and design were amazing.
Onto the most important part, gameplay;
I don't know where to really begin, but the combat is just superb IMO. I do love DMC (Never played the new 'DmC' though), and I rate DMC1 and 3 near Bayonetta in terms of quality. I do feel that Bayonetta is similar but just more... refined? It feels smoother and also has some amazing ideas that weren't featured in DMC.
Witch Time is the biggest one, it's so satisfying to get a succesful last minute evasion and then unlock the weave powers. Things like panther and butterfly transformations make platforming/navigating levels a joy beyond what DMC could offer.
The controls are just incredibly responsive and there's such a plethora of attacks and combinations of moves avaiable I can't think of any game that matches it (maybe God Hand with it's brilliant customisable combo system and roullete supers). The fact that you can put weapons on your arms and feet means there's lots of potential combinations and all the weapons are not only unique, but very nicely fleshed out, meaning you can find your niche weapon and really sink your teeth into it. DMC3 had this as well, but again, I feel it was better polished in Bayo.
I could go on and on, so let me know if you want more. It really is one of my all time favourite games, and now I just want to re-play it