Finished up Arkham Origins, and I greatly enjoyed it.
The combat is basically the same as City, but with a few extra tricks, but the story is much better paced and presented. I like Arkham City quite a bit, but its story really grinds to a halt when you have to go and find the League of Assassins.
I think the biggest issue with the game is that the world feels comparatively quite lifeless. It still has essentially the same map as City, but it has been stripped of all of its DC character, and replaced with snow and Christmas. Its an interesting tone, definitely, but it was always really cool in Asylum, City and Knight seeing all of the little easter eggs pointing towards other DC characters and events, even if those characters don't appear in the game themselves. They gave the world a sense of history, and a purpose to go exploring, but this is sadly absent in Origins.
Ultimately, it is a solid game, and one that doesn't deserve the flak that it has historically received.