Oh, you're in for a treat.
A weird, twisted treat, but a treat nonetheless.
The Animal Man run is for 26 issues (I forget how many TPBs that is) and it's really simple to begin with and goes completely insane.
The Invisibles is fun, but nothing so amazing to break the bank over. If you get a chance to read it, do so. I'm pretty sure its gonna be in your local library.
At the same time Morrison was doing Animal Man, he was doing Doom Patrol. His Doom Patrol ran from #19 to #61 (maybe 62). It is ****ing brilliant. The first arc is called "Crawling From The Wreckage" and is, in my opinion, the best. The first story "Crawling From The Wreckage" scared the **** out of me. I've never been that scared by a story before. The second story in that same TPB, "The Butterflu Collector" is really good too and also quite... terrifying when the villain explains just who he is. The second TPB is called "The Painting That Ate Paris" and is wonderful too.
Just to give you a super quick synopsis witohut spoilers:
"Crawling From The Wreckage" - The scissormen from Orqwith, who aren't real, invade our reality and try to turn it into Orqwith.
"The Butterfly Collector" - a crazy man calling himself "Red Jack", who lives in a gigantic mansion that exists in the closet of a hospital, steals one of the Doom Patrol's now comatose members to be his bride.
"The Painting That Ate Paris" - The Brotherhood of Da Da led by Mr Nobody use a painting to eat Paris so that they can unleash the fifth horseman of the apocalypse.
And it just gets weirder. Danny, the sentient tranvestite street shows up, as does Flex Mentallo who's trying to turn the pentagon into a circle by flexing his muscles, the decreator of the universe shows up, and then the final arc... well, the final arc is an amazing pay off that, looking back on it, has a lot of parallels to the end of Morrison's New X-Men run (which he even made fun of in an interview).
And I'm not even mentioning how amazingly well-written Robot Man is.
I can't recommend Doom Patrol enough. It's so ****ing crazy. It's got the aesthetic of a nightmare.
Animal Man however, is also very good, and in #26, the Doom Patrol are mentioned (but don't worry, it's not a tie-in at all. Trust me.).
WE3 is good, but it's not, in my opinion, a contender against Animal Man or Doom Patrol. Morrison at his most surreal.
God, I'm off to read 'em again.