I guess it's time for one of these again.
As usual, this is a list of my personal favorite YTPMVs that were made in 2013. I'm sure I missed some, especially since I wasn't really on the ball with YTPMV as much this year toward the end.

-DukeOnkledNukem-
Gangnam City (PSY vs. Madeon) [Final Mix]:
http://www.youtube.com/watch?v=ymXli5oruOU
Crawling Lights (Complete):
http://www.youtube.com/watch?v=81BcCneHj4o
king of my asshole:
https://www.youtube.com/watch?v=QV98PSGmRSs

-MrSpazzaneve17-
Daft BLITZ:
http://www.youtube.com/watch?v=hVw3xZyI8PI
BR-ETT Disco (feat. Mike):
https://www.youtube.com/watch?v=c0SIWBXSVSo

-OHMYItsGODzilla-
I Spy:
http://www.youtube.com/watch?v=YvlE8STbh9c
Crawling in My Intermission:
http://www.youtube.com/watch?v=Ep7VHCrGKTA
Second Reality: SquareBob SpongeMix Edition:
https://www.youtube.com/watch?v=83MZjDuZntI
Taco Stadium:
http://www.youtube.com/watch?v=_lp0Vyhdo_Q

-randomTVbox-
BLITZ:
http://www.youtube.com/watch?v=1XOeGWHGrRM
Spies Like You:
http://www.youtube.com/watch?v=soGFRS_Rm4I

-omniputance-
Imagine Kitchen Guns:
http://www.youtube.com/watch?v=UzyN-4v5-us

-anotherYTPMVer-
Amberous Fervor:
http://www.youtube.com/watch?v=OBfZ-cdijY0

-DarkKhezu-
DJ POOTIS - GAME BOOTY:
http://www.youtube.com/watch?v=RRF66_pE9xQ

-SHPIDEN-
Nicolas Cage lose his tralala :((:
http://www.youtube.com/watch?v=HIWF8LNDp6E

-Baycunn-
The Glory of the Dancing Napoleon:
https://www.youtube.com/watch?v=et06qODNrKw

-faugapeengana-
Happy Birthday Rob:
http://www.youtube.com/watch?v=HSrzpFDvXKg

-TheEpicROB-
Funky Town Collab:
http://www.youtube.com/watch?v=pUUfu1hKowQ