like mike refers to michael jordan you fucking idiot. it was a huge nike advertising logo "i wanna be like mike" in the early 90s
whoever defined the previous like mike and didn't know who it was is probably some 12 year old that doesn't think that there was life on this planet before 1994, get a fucking clue
If someone is 'like Mike', they have achieved the peak of physical and mental perfection. Such people will normally be extremely sporty, intelligent and witty, and as such are very rare. The original Mike to whom the phrase refers is long forgotten, but its safe to assume he was great to know, and probably damn fine to look at.
"Damn Timothy, you got hot. You're great looking."
"Why thanks, good chum."
"Yeah, you're really like Mike!"
"Please! You flatter me too much!"