tbh Drake really has nothing on Kendrick, Kendrick is basically a much better rapper & artist in almost every aspect.
all Drake really can do is go personal or make singles and honestly, Kendrick has mastered that personal thing a lot more.
As far as singing, Kendrick isn't a singer. But he does have a knack for great melodies and hooks.
But Kendrick is obviously the more complete and versatile artist. Each album is basically an audio film complete with characters and a plot and accomplishes a different goal than the last. You think Drake could successfully pull off a Jazz/Funk oriented album? No. But Kendrick can and has also helped to boost jazz music last year. Drake has yet to make a single full fledged concept album. Kendrick has 3, each with an entirely different sound than the last.
When it comes to actual rapping/lyrical technique, Drake loses. BADLY
Kendrick, like I said before, can flip from a spoken word/poetry style to an aggressive rapping style, to the space age alien shyt etc. and does it all effectively.
Honestly, the only thing Drake has over Kendrick is Pop joints and Club/radio and that's because Kendrick doesn't focus on that. But we saw he was capable of it on GKMC.
Kendrick is better than Drake at personal songs, lyrical songs, storytelling and he's successfully pulled off R&B records like These Walls and Poetic Justice. Yea, Drake was on Poetic Justice but it was just a verse. Kendrick completely did everything else and it worked. And honestly, that's one of Drake's least memorable verses.
Kendrick has done more genre's than Drake, tried more rapping styles than Drake and has succeeded in Drake's lane as a mainstream artist making hits. He's more complete than Drake.
Oh and let's not forget, Kendrick is doing all his own writing. Even most of his hooks come from him. Drake got Hush, Kenza Samir, Quentin Miller, Nickleus F, Majid Jordan, Makonnen and probably other nikkas on payroll writing for him