My favourite is Sticky Fingers. Next is a compilation album - in that respect it is not really like the discrete albums, though to me it is, I guess because it was the first Stones album I heard, way back in about 1968 or 1969: Through the past, darkly.
If you just want to hear the Stones, rather than experience albums, there’s a mammoth compilation called Grrr with 50 tracks.
I agree with recommendations of Beggars Banquet, Sticky fingers. Exile on Main Street is also very good. One latter day 70’s album worth trying is Some girls.
Being more of a classical music fan - but one who dips his toe into everything else - You can’t always get what you want - stood out for me since it has that choir and a nice french horn solo.
It gets a spin here now and then. I only have Let it Bleed and Goatshead Soup.
‘Stripped’ and ‘Blue and Lonesome’ are a good later supplement to the earlier classics mentioned.
I also have grown fond of ‘Bridges to Buenos Aires’ as a good late live album, nicely recorded. It’s no ‘Leeds Lungs Out’, but a great ‘greatest hits live’ set.
One thing to be aware - recent masterings of the albums on The Rolling Stones label, going back to Sticky Fingers, are often dreadful. Check the DR Wars database.
The ones I have ordered are on the “ ABKCO Music And Records, Inc” label as you probably know.
Let it Bleed is phenomenal. I just played the CD layer ripped to WAV on my main system. Wow! The guitars, drums and vocal are fantastic. You would think it’s a HD recording.
I’m praying the other ABKCO albums are just as good.
Just about to post about later editions of the albums released on Rolling Stones Records, but @jegreenwood has beaten me to it. If you wish to try the albums Sticky Fingers through to A Bigger Bang try and source those distributed by either CBS and Virgin. Essentially avoid anything with a Polydor label imho, they are the dirrect opposite of what you are enjoying with the sacds.
For the Live experience … incl visuals … how about “Totally Stripped” - a 4-disc Blu-Ray set (also on DVD I believe) … output channelled through your Naim system natch … these are 3 x “Back To Basics” concerts performed at Amsterdam, Paris, and London … the Amsterdam stage version of Gimme Shelter is utterly, utterly, utterly … sensational! Disc 4 is a standard audio-only CD with highlights from the 3 concerts … (But … don’t ignore “Ya-Ya’s” … it’s one of the best live albums of all time, great sound and performances).