I've never been a massive fan except for the obvious hits, and hadn't heard much outside of four or five big albums. I would say I developed more of an appreciation of them after hearing how they evolved.
Stray Stones observations:
*I found I didn't disagree with general consensus on their good and bad albums much at all.
*Would you believe I'd never heard (or at least didn't remember) Under My Thumb and Out Of Time? I didn't even realise they were considered big songs until I looked them up!
*Very early Stones records are more enjoyable than I expected. In some ways they're less dated than early Beatles because no one really goes out of their way to listen to the kind of pop songs they were covering, but early Stones is just high energy, well performed blues rock. Not really my thing but decent for what it is.
*The early catalogue is a shambles with the British and American versions, but it turns out it doesn't make all that much difference in practice, the records are on about the same level either way. The American ones might be a bit better just because they have the hits on.
*Between The Buttons is the best early album, and the closest I came to a surprise revelation from listening to all these records. High quality 60's pop, none of which I'd ever heard (except for Let's Spend The Night Together on the US version).
*Beggars Banquet gets my prize for overall best album. Satanic Majesty's Request one of the absolute worst!
*Back when I first tried the Stones with Let It Bleed and Sticky Fingers I thought some of it was brilliant but there were too many jams and boring songs. Turns out... I still pretty much think that.
*Exile gets the prize for second best. It's funny considering the recording process was all over the place that it's one of their most cohesive sounding records. It's mainly about the genial vibes and Keith's chord sequences, Mick sometimes sounds like he's phoning it in a bit. Even the new bonus disc is quite good, despite elderly Mick vocals.
*In fact one thing I'm surprised I never noticed until now is how many songs Mick is basically just singing along to the guitar riffs.
*The 70's records are all pretty good to varying degrees, except Only Rock And Roll which, considering it was still the classic early 70's lineup, is oddly shit (I thought Taylor had left by then, but no).
*Some Girls is pretty great! It's also quite impressive that quite early in the history of the punk/new wave era they managed to take the right message from it, which wasn't to just copy the trends, but take the cue to strip down their sound and make something a bit more light and nimble and colourful. Great production. The bonus disc is pretty crap this time however, and doesn't even sound much like the rest of the album.
*I actually really like the guitar interplay between Keith and Ron, it's one of the best things about their later records. It's a bit of a shame Ron only gets one great record.
*The famously shitty 80's records are actually more listenable than I expected, mainly because they're quite short and I find horrendous 80's production endearingly quaint these days. Steel Wheels might be their most tedious album because it goes on forever and just sounds like a dull session band.
*Voodoo Lounge was a definite return to form spoiled only by being way too long and inconsistent. Bridges To Babylon is even less consistent, but does have a handful of really good songs. Their writing was actually halfway decent in the 90's.
*Bigger Bang has a few really good choruses but is pretty lame. Like a lot of aging acts in the 00's (Bowie comes to mind) it has this slick, radio-ready commercial rock sound that's completely incongruous with almost anything that was actually commercial or on the radio at that point, which makes you wonder why they bothered.
*Blue And Lonesome is actually pretty good! It's just blues again but they actually sound like a real band playing in a room, and a pretty good band at that. If they all drop dead tomorrow this would make a nice bookend to their career. You do get the impression (which I also got when seeing them live) that Ron is carrying Keith on guitar somewhat at this point. Not hard to see why having seen what Keith's fingers look like these days.
So errr, there you have just about every opinion I've ever had on the Stones.