YouTube-to-Spotify converter
General

I could work with this code, I only have a few remarks.

Globals

You should consider as a minimum to have your 4 globals in an object.

var player = 
{
  spotifiedList : [],
  youtubeSongs : 0,
  spotifySongs : 0,
  spotifiedSongs : 0,
  playNext : 0
}


You could even add most of the functions to the player object

resetTimer

You should remove the console.log, which makes this a simple one liner. If you keep it ( function name neatly explains what it does ), make sure to call it from play() instead of doing a straight clearTimeout(playNext).

startProcess

You could consider caching the jQuery queries, maybe in the before proposed player object.

retrieveYoutubePlaylist

if (typeof data.feed.entry === 'undefined') {} else { is just wrong.

retrieveSpotify

Encoding onclick= is wrong as well. 
Building HTML should be contained to separate functions.

parseTitle

I have no idea what that does, a few comments are needed there

play

I am curious, what does &gt;&gt; 0 get you ? Force it into an integer?