Well, this is going to be relatively easy:
Absolutely amazing chemistry , very tender, loving and tactile with each other and they give us as fans a ton of "material" which other fandoms could only dream off. Lots of history with each other (so lots of different emotions between them), conflicts in the past which they worked on and seemingly overcame and overall just, for me, the picture-perfect ship of Rammstein.
2. Olichard (Olli/Richard)
A kind of lonely shipping experience I must say (since on here not many people seem reckognize the absolute potential of this ship), but I love them so much. Very tender, cute, down-to-earth with each other, numerous supportive and sweet moments during concerts (but not as 'in your face' as with Paul) and the fact that they've known each other for so long and seemingly got along well even after the Mutter disaster really warms my heart. There's a gif floating aroung on here (sadly I can't seem to find it anymore), which shows Richard and Olli nuzzling their foreheads toghether while playing. I think about this gif at least 3 times a day currently
3. Schneesh (Schneider/Richard; not even sure if that's the true ship name)
They're just so, so cute together. Period. Since Schneider also seems to be like a very tactile and cuddly person just as Richard is, plus also very emotional, they would fit very well in my mind. Just vibing together and 95% hands all over each other I guess.
(Just for the record: They all have family and Paul, Olli and Schneider are in seemingly very loving relationships with their partners. So we as fans should respect this, shipping is just for fun and no, I don't think anything is going on behind the scenes)