"Exposure" is a wonderful, peculiar record - one minute KC power chords, next beautiful ballads, then oddball intellectual punk...with some very weird soundbites of Fripp's guru.
"No Pussyfooting", the first Fripp/Eno collaboration is very beautiful; I also like the recent 'The Equatorial Stars'. Very ambient but attractive.
I really like this one:
The Robert Fripp String Quartet which is Robert Fripp, Trey Gunn and The California Guitar Trio. Very melodic with thak trademark snakey guitar.
This one is very different but great fun:
Thrang Thrang Gozinbulx Official Bootleg: Live in 1980 by The League of Gentlemen. Sounds like punks with ph.d.'s doing strange, off-kilter pogo dancing.