I love Suede (I didn't count that as they are a well-known band anyway, and Morrissey had no effect on my liking of them, I had no idea at the time that he even liked them), or rather their early period. I love their first two albums - the debut is great, Dog Man Star is a classic - and Sci-Fi Lullabies (disc 1 is brilliant). And the single Stay Together, of course. I love everything they did with Bernard Butler. Post-Butler... well, I like some songs from Coming Up, but not the album as as whole. And I like an occasional later song (Everything Will Flow).
Speaking of well-known bands he likes, as far as I know, he likes Siouxsie & The Banshees (which I definitely agree with), The Jam, Roxy Music...