For those not sure where to start, here are three albums to check out. The bands approaches are quite different from each other, but they all fall under the banner of krautrock. The common theme you could say is
sonic experimentation. So if you don't like one song, you might still like the next
Can - Tago Mago (1972)
The poster-boys of krautrock, and for good reason. This rock double-album is regarded as (one of) the quintessential experimental rock albums. Though the drumming and guitar are mesmorizing and catchy, the real sonic gambles come from from Damo Suzuki's bizarre but intriguing vocal style, and the heavy use of cut and paste editing. This band requires an open mind to get into, but the rewards are well worth it:
https://www.youtube.com/watch?v=uBVdqjPEZqsNeu! - Neu! '75 (1975)
The best example of a reunion done properly. And it has the all hallmarks of two people with quite different opinions on music. You can almost sense the struggle and compromise. The first half is (Micheal) Rother-dominated ambient/rock and the second half full of (Klaus) Dingers proto-punk freak outs.
And it works. The juxtaposition of these two diverging styles works amazingly well...like opposite colors on a color wheel. This is the first track on the album;
https://www.youtube.com/watch?v=HKGvKLBx9q8Faust - Faust IV (1973)
While Can loved to experiment with sonic stlyes, Faust loved to experiment with sound. With noise. The eclectic group is known for their radical approach to what constitues an instrument. Fond of cement mixers and chainsaws...their sound retained enough convention about it to be catchy and it never quite crossed that line (which many do) of turning music into noise for the sake of experimentation. There is an extremely diverse range of styles displayed on this LP from drone to jazz. This is one of the more straightforward tracks (which is still completely out there, even compared to prog):
https://www.youtube.com/watch?v=_MyxC76M5B4