I didn't even hear about the arcade shooter until long after it pretty much disappeared from arcades, and I never got around to BoM because I still don't have a Vita. I've heard it's a decent enough little spinoff title, but nothing more.
I'll break that last part down:
I've only played Origins a handful of times, mainly because some of the gameplay choices annoy me, like the new controls and the enemies that just won't stop following you.
Homecoming is alright, and I play it every now and then. I find it fun.
I like Shattered Memories the most out of the three, but I can only play it so much because of how, well, small it is. I love the story though, and parts of the gameplay are pretty fun for me.