Yeah, I'll recommend the Original Gundam in movie form too. The original series isn't bad but good luck tracking it down.
That said, I'd also recommend Zeta Gundam, though not in movie format as a lot more that happens in that show pushes the plot along and is generally less episodic than OYW.
Actually most UC Gundam shows tend to be okay at least (well aside from the latter half of ZZ Gundam, pretty much any time a female shows up in Victory Gundam, F91 Gundam which should've been a show instead of a movie, and 0083 Stardust Memories because the leads kinda suck). Meanwhile the only AU Gundam series that don't suck are G Gundam and Turn A Gundam (poor Turn X had serious potential but got canned before it could get to the payout, Double O Gundam had a decent start followed by a shitty second season and a horrid movie, and somewhere in there Gundam Wing has at least some redeeming value, though don't ask me what that is aside from the fact that Noin is seriously probably one of the best female pilots in the entire franchise).
As for Eureka 7 (or Errecta Schlebein because if we're going to mispronounce names and words, we might as well go whole hog on the deal), it's a show that needs to be watched twice. Once to go through it blind and get utterly confused by all the terminology getting thrown around and brandied about, and again after you are aware of the big plot twist revealed near the end of the show. Basically, the majority of the show is telling you everything you need to know about what's going on and what important thing is happening next aside from the context in which any of it makes any goddamn sense. Your first watch is basically going to be about watching Renton's character development from snot nosed kid who accidentally fell into a
Gundam Nirvash to level headed young adult with aspirations towards the future. Your second watch (provided you made it to the end of your first go or you got spoilered on the plot twist) is going to constitute on seeing just how much everything ties into the overall plot and the imminent crisis.
But yeah, even then the show is kinda slow until you hit the part where Renton runs away from the Gecko State, after which the show stops dicking around and starts speeling the beans.
I too recommend Zeta, but not usually to newcomers since it's a pretty long show. Despite the internet being a lot more critical of the show than it was about a decade ago when the western Gundam fanbase was a lot smaller I still consider it one of the best.
I'm surprised you don't like the latter half of ZZ, most people who love Zeta hated the first half and vice versa as far as I know. F91 is pretty bad. 0083 has some pretty horrible characters but if you like nice animation, you'll be wow'd the whole time- the show looks great. G gundam is its own thing (and pretty awesome for it), Turn A is one of the greats. I actually really love Gundam X myself despite the rushed ending- MSG got cancelled too, after all. I just really wish there was more information out there about how the show was supposed to go, because the original plan for MSG is out there and most people think it's a lot worse than what we actually got. I love Gundam X for its characters and overall themes, but I never liked that most of the side characters got the shaft and that the world building wasn't as in-depth as I would've liked.
Only thing I'd take home from Gundam Wing myself are the badass Gundam designs (and/or all the prettyboys if you're a lady I guess).
AGE doesn't deserve mention other than as an example of what not to do. I look forward to seeing/using crazy grandpa Flit in SRW, though.
I'm actually rewatching 00 right now because I've never seen the movie and I figured I'd rewatch the show again to re-familiarize myself before I moved on. I remember not liking the second season but I haven't gotten there yet. I forgot how good this show was in its first season- it has a really good balance of characters and politics, and the multi-viewpoint story is what I really love. Only thing that bothers me is how the Gundam feel invincible for a great portion of the show but at least they make note of it in-universe. It loses pretty much all of that in the second season and became lots of "MARIEEEEE" and "LOUIIIIIISE" combined with an oversaturation of stupid Gundam tropes. It's like they were trying to make up for the first season being relatively fresh.
Also, say what you will about 00, but it has probably the best death scene in the whole franchise. Mizushima's a good director, that's for sure.
Interesting notes about E7- I've actually only ever watched the show once and that was when it came out. I remember the twist and that the show was focused on Renton/Eureka but aside from that I actually forgot a large amount of the show other than that it was really pretty and it had a great eclectic soundtrack. I might rewatch the show after 00 since you've brought these things up.
I've heard the movie and AO are pretty awful though.