As someone who a U87i has always worked on my voice, I'll be glad to narrow your search.
Nothing sounds just like it.That in mind...in the ballpark:
-Gefell Um70s...transformer version. the new one is so expensive and not as good as an 87, I can't imagine recommending it. But, there are deals to be had on the old ones-beware expensive repair bills, though--it's an M7 cap.
-AT 4060...ignore that it has a tube. Doesn't sound like it does. Sounds like an 87i with the low mids "pre EQd" out. Has the same signature brightness up to a point (say 11k?) then falls quickly. Very quickly.
-ADK Hamburg...Really a damn fine mic for the what $250? Yes, it's Chinese. Yes, it has that sizzle. It definately doesn't carry the low mid girth of an 87, but has a similar middle/mid high, IMO.
...they are one of the only ones that got the low mid growl of an 87. It's married to a more modern sounding, clean mid/top, though. Useful mic in the same "all around" sense.
...I know I put it everywhere. But, if the nice, dynamic midrange is what your voice loves about the 87, this will fit the bill.
Now...if you've not used an 87 on your voice and are thinking it has some certain sound...I'd advise you try one before wondering aloud which would give you that "rich sound".