Rampage is usually worth watching. I will admit, I don't always enjoy the entire show but a vast majority I like. There is also Dark and Dark: Elevated for free on youtube. Those are good shows to catch new signings or your favorite underrated wrestlers.
I started following AEW on a weekly basis when CM Punk came out of retirement and returned to the biggest pop I've ever heard by a hometown crowd. I had pretty much given up on any American products as I was a ROH fan before they went nearly bankrupt after Vince cherry-picked all of their top talent. Most of the storylines are now shown in video recaps prior to matches now. I would suggest picking up before MJF was pretty much shunned from AEW. His feuds with CM Punk and Wardlow were pretty entertaining. You can find a good recap on youtube that a fan made about the Punk/MJF better than you feud.
I would also suggest checking out NJPW and a little bit of NJoA (New Japan's American Company). NJPW has improved by leaps and bounds in the last few years. Nearly their entire roster is stacked with so much talent. It's not really storyline based too, so you can kinda just figure who you like and only watch their matches if you like. Also, Kevin Kelly does an English commentary for nearly every show of theirs now, so it is much easier to follow. Also, it seems that Tony Khan (AEW) has struck up a deal with NJPW to feature each other's talent. Will Ospreay and the tag team of Aussie Open from NJPW's United Empire faction will be in the tournament for the new AEW Trios Tag Team Titles. If you wanna chat about NJPW, head over to their own forum post and I'd be glad to talk shop over there. PS...It's G1 season in NJPW. It's 4 blocks of 7 wrestlers each (28 total) round robin tournament where the winners of each block will face off in the finals. I haven't caught up yet, so no spoilers.