Wow, great work on a really tough track, at least where the rhythm section is concerned. And I agree with what everyone else has been saying, but with a bit of a twist: you *do* sound a lot like Jagger, but I think it comes more from the feel, the delivery, the shape of the words than the actual sound of yer voice. I mean, the sound itself is pretty freakin' close, but what really nails it is the attitude, which is what I think everyone else was getting at when they asked if you do the "chicken strut" too. Haha.
This is easily my favorite Stones album; the opening cut, "Gimme Shelter," is my all-time favorite Stones song for numerous reasons: the content is killer, lyrically-speaking; the arrangement is amazing; but what really does it for me is the absolutely masterful rhythm guitar playing on the track. That also goes for "Monkey Man." In fact, just about all of "Let It Bleed" showcases Keith Richards at the height of his rhythm mastery. He's easily my all-time favorite rhythm player; just such an unbelievably good feel & pocket.
You do a great job of nailing that feel for the most part; there's a bit of drift on the rhythm guitar part near the top, during the phrase when the drums enter, the one right before the vocals enter. I'd look into that. Also, when I think about the players on the original track, I'm really impressed with your ability to closely mimic their excellent playing & feel. Really nice work.
I think the vocals are a bit too upfront in the mix (assuming yer trying to accurately emulate the original); as you said in a response previously, all of the Stones mixes tended to bury Jagger's vocals, and for good reason, I think. He's not the best singer, per se, but his vocalization is excellent. So they put it back in the mix just a tad so the listener can still hear the lyric but isn't bombarded by his voice; I think they did this not only because of his voice but because the other musicians were just too good to be outshined by a vocal.
There are a few other very minor details I could mention but I honestly don't think it's necessary. What I would like to know is how you tracked the drums. Having seen other posts from you, I'm assuming the drums were tracked live (and not programmed). These days it can be hard to tell, but if my internal clock is correct, it sounds/feels like they're live drums tracked to a click that yer playing around, shifting the pocket forwards & backwards to suit the song/arrangement/section. Is that correct? If so, what was yer mic setup like? What was the room like? What were yer signal chains?