The War on Drugs — "Red Eyes"
Atmospheric heartland art-rock from Lost in the Dream (2014). Adam Granduciel openly cites Dire Straits, Springsteen and Dylan — direct descendant of your current classic-rock listening run. Propulsive enough to drive focus, melodic enough to fade behind a screen. Seeds into Kurt Vile, Real Estate, Beach House.
Wilco — "Impossible Germany"
Sky Blue Sky (2007). Nels Cline's six-minute guitar conversation on the seed track is feel-good art-rock at its most lyrical — jazz phrasing inside an Americana frame. Sits between your Dire Straits and Pat Metheny placements; radios into Bill Frisell, The National's quieter work.
Elbow — "Lippy Kids"
Build a Rocket Boys! (2011). Manchester art-rock with orchestral warmth — Guy Garvey's voice over a slow-build refrain of "do they know those days are golden". SPIN called the album "capital-A Art rock without pretense, but with tremendous heart". Radios into Doves, I Am Kloot.
Talk Talk — "Eden"
Spirit of Eden (1988). The album credited with inventing post-rock — jazz, ambient, gospel and blues stitched into a transcendent slow build, recorded mostly in the dark from improvised takes. Sits beside the work beautifully, rewards a closer ear. Direct line to Bark Psychosis, and your existing Max Richter / Pink Floyd territory.