In a nutshell, this is the movie that you were hoping X-Men: Origins would be.
As far as I can tell, they pretend as though that movie never took place (good call) and has a solid Easter Egg near the end of the credits that (if you were a comic book and/or tv series nerd) you will want to see.
It starts with historical flashbacks that are great and then moves to a very good feral Logan. Logan returns to Japan (see aforementioned flashback) and gets into all sorts of cutting/jumping/fight shenanigans that are thoroughly enjoyable. He gets a less angsty sidekick and a story worthy of the comic books. So yeah – if you’re a fan of the character, I expect you’ll be a fan of the film. I saw a bunch of really mixed critic’s reviews and can’t for the life of me figure out why. All good fun.