I like Genesis up to a point. Duke (1980) is their last good album, IMO. I still have some of the later stuff (but not all) on cassette, from long ago.
The Lamb is one of my all-time favorite albums.
Of Crimson, my favorites are probably Red, and the 80's albums Discipline, Beat, and Three of a Perfect Pair. I don't care much for the recent stuff, except I do like the Projeckts box set. I'm really more of a Fripp fan.
I recommend Robert Fripp's album of Frippertronics called Let the Power Fall, and his collaborations with Brian Eno.
I like League of Gentlemen, but I prefer the version that is on vinyl, as it has the female vocals that Fripp edited out for the CD version.
Here is what I own from them:
1
King CrimsonRed (1974) Vinyl2
King CrimsonDiscipline (1981) Vinyl3
King CrimsonBeat (1982) Vinyl4
King CrimsonThree of a Perfect Pair (1984) Vinyl5
King CrimsonThree of a Perfect Pair: Live in Japan (1985) VHS6
King CrimsonFrame By Frame [4CD Box] (1991) CD7
King CrimsonThe Great Deceiver - Live 1973-1974 (1992) CD8
King CrimsonVrooom (1994) CD9
King CrimsonB'Boom (1995) CD10
King CrimsonThe Noise: Live At Frejus 1982 (video) (1997) VHS11
King CrimsonThe ProjeKcts (1999) CD