BlazBlue: Calamity Trigger! Unfortunately, Continuum Shift isn't out here yet, but I've got it on pre-order.
 
I think my favourite is Taokaka. She's a spunky catgirl with dangerously large claws, and I like her down>down+C attack. Noel was quite fun, too. And those are the only two characters I've played with.
 
So, there's a story mode, and it's hella confusing. First of all it seems like there's just a shit ton of clones running around (Noel goes all cloney, and Hakumen spoke to Taokaka as though she were a clone) and secondly, there seems to be a whole bunch of branches depending on the choices you make/winning or losing. I did all the ones I could find yet somehow I'm only at like 80% with Noel and 90something% with Taokaka. Confuzzling.
 
Also just got DQIX, which is awesome.

For the story modes bleieve you also have to lose certain fights in order to get different endings. Other times you have to make a different choice that's on the screen.

" For the story modes bleieve you also have to lose certain fights in order to get different endings. Other times you have to make a different choice that's on the screen. "

As I said in the Advice thread, if you want a summary of how to complete each story path and can deal with Kokonoe hating you, then go here.

" BlazBlue: Calamity Trigger! Unfortunately, Continuum Shift isn't out here yet, but I've got it on pre-order.  I think my favourite is Taokaka. She's a spunky catgirl with dangerously large claws, and I like her down>down+C attack. Noel was quite fun, too. And those are the only two characters I've played with.  So, there's a story mode, and it's hella confusing. First of all it seems like there's just a shit ton of clones running around (Noel goes all cloney, and Hakumen spoke to Taokaka as though she were a clone) and secondly, there seems to be a whole bunch of branches depending on the choices you make/winning or losing. I did all the ones I could find yet somehow I'm only at like 80% with Noel and 90something% with Taokaka. Confuzzling.  Also just got DQIX, which is awesome. "

It's a time paradox.  Ask again after beating the true ending.  It's a lot of text to listen to, but a big part is just if ragna goes into the cauldron with nu-13, they go back in time and create the black beast and restart the time loop. 
 
continuum shift is like a time shift that continues past the time loop. get it?