Nice job reviving this one, Albert, so I'll go with one of your favorite bands:
Side two of Eels' "Daises of the Galaxy". Whiile you can make a case for a bunch of Eels/M. O. Everitt sides, I think this is my favorite Great from start to finish IMHO.
From the mid '60s thru mid 70s, a bunch of bands got hot and produced a string of great side; Beatles, Stones, Zep, and a few other already mentioned are good examples. Given my own fixation with them, I also gotta mention the 8 side streak that Fleetwood Mac produced from their Eponymous LP thru Tusk.
So, I'll take some liberties and extend the thread to include consecutive sides of great music. I'd guess that many folks would add Dylan, CSNY, and The Who to the list. The prog rock runs from Yes and Genesis, the punk run from The Clash, and a bunch of other genre specific stuff probably deserves mention, too.
However, one sleeper candidate for "Mother of All Hot Streaks" was Creedence Clearwater's 10 side streak in the 24 month period starting in July, 1968:
CCR
Bayou Country
Green River
Willy and the Poor Boys
Cosmo's Factory
I don't think there's a weak side in the bunch. Im sure you can make a case for others, but this was all within 2 years. IMO, this be the most prolific run in rock n roll history.