I like the selection Cameron uses. It's not the optimal set of albums (many better Stones than Get Yer Ya Ya's out), so it seems more authentic, more like the random collection of albums someone would genuinely own.
And between my brother, my sister and myself about 3 or 4 years later, our house had exactly 1 Beatles album, as my brother own the White Album. We weren't Beatles fans, and besides you heard their songs on the radio all the time anyway.
As for your Q.
Carol King was huge.
Then again so was the 5th Dimension in 1973.
Elton John was huge, but I guess his breakthrough Goodbye Yellow Brick Road just came out in '73.
Alice Cooper's School's Out (1972) was big (and '73's Billion Dollar Babies -- two of the first albums my older brother ever owned)
I'll think of more when I get back later.
I think Crowe's construction of Anita's portfolio is fine, but a little curious.
in that regard, I'm not sure what optimal is, they may have been his favorite albums as a 15 YO kid, or his sister's favorites, if he had a sister, who gifted him the records.
I got no idea.
I just thought no Beatles, no Sgt Peppers was interesting, as it was, and maybe stlil is considered one of the greatest, albums of all-time. (#1 on Rolling Stones 500 Greatest Albums).
He decided to give a sticky finger to the Fab Four.
In any case doing a little internet sleuthing I found some interesting factoids.
the album scene is 1969, Ya Yas came out in 1970, and Blue didn't come out until 1971.
as to the Stones, having a 2nd Stones album in Anita's collection, (Get Yer Ya Yas) , which seems to fall slighly outside the story timeline, but may have been a nod to Lester Bangs, who in his Rolling Stone review of the album wrote, (from wiki) "I have no doubt that it's the best rock concert ever put on record."