Where the Streets Have No Name: PSB by a mile, and I really like the original.
Ai No Corrida: I was first acquainted with the Quincy Jones version and heard the original only some time later, and I even preferred the Jankel at first after hearing it. But I kept coming back to the Jones: slicker, in a good way, with faultless production and an understanding that this is a disco tune foremost; it's also way less repetitive in the bridge. I forget who does the Jacko-esque vocal on the Jones but he's obviously far more professional than poor Mr. Jankel.
He's Gonna Step On You Again: Included only because of the other Kongos/Mondays here. For this song, easily the Mondays'. Shaun Ryder is one ugly ####er and the video is mostly him taking off and putting on his glasses and messing with his hair. The only thing the original has going for it is that crunchy guitar.
Tokoloshe Man: Kongos, duh. The Mondays #### up half the words, as if they got messed up and went into the studio without ever reading the lyric sheet. I must admit their version really grew on me after a while.
Any Way That You Want Me: The sentimental pick is the Spiritualized; there's an edit roughly half the length of this but I can't find it, and a short version is no less cumbersome than the long one. I've got to go with Evie Sands: hell of a rendition and she's pretty hot, too. Consensus favorite seems to be the Liverpool Five's but it's no good at all IMO.