I used to love Rush, but I guess I kinda moved on - and definitely heard their stuff far too much. Still good music though!
It's a bit hard to say what albums to recommend as their style shifted a lot. From the perios before synths became dominant (Moving Pictures onwards), I prefer Hemispheres; but I know 2112 and A Farewell to Kings are more common calls. Permanent Waves is a little inconsistent, although The Spirit of Radio is a great radio track and Jacob's Ladder is one of may favorites of theirs. (Was very happy to see it live in 2015.
) The first three are rather basic hard-rock in comparison, especially the first one.
The synth period is from Moving Pictures to Presto/Roll the Bones (although those two are kinda in between). My favorites are Moving Pictures and Power Windows, which are just incredibly strong all through. Special shoutout to the underrated Middletown Dreams of the latter. (Also, Territories for the rare spot of humor in the lyrics!) I also really like Signals. I think I'm rare in that one and I agree the production is too muddy, but there are a couple of amazing songs on there, like Subdivisions, Countdown, and The Analog Kid, as well as Losing It, one of their very few 'ballads', and very beautiful, haunting, and sad.
Grace Under Pressure is very good as well. Side A is among their best sequences of music (including a bit of pretty OK ska in The Enemy Within!), but the album as a whole is let down by its side B to me. Hold Your Fire has a couple of great tunes (the ones you'll find on a best of), but is too slick for me overall and the quality drops are too deep. Presto and Roll The Bones both have a rather thin sound to me, which makes them harder to listen to. Even their best tunes (like Red Tide or Dreamliner) suffer from that.
I'm less into the period from the 90s onwards, when they largely ditch their synths and start rocking harder again. I like Counterparts and Test for Echo though, since their melodic sensitivities are still strong there. They also have another great trio of instrumentals, starting with the one on Roll the Bones. I don't really hear that in Vapor Trails of Snakes & Arrows, which I find rather meh. I agree that Clockwork Angels is quite strong again though (The Anarchist is probably my favorite track there), but I don't like the sound as much.
Feedback is also a fun little album btw: they have a lot of fun playing 8 of their favorite 60s and 70s rock tracks and it sounds great. I would skip over their live albums though; they add very little to the albums, apart from the drum solos.