Oh man. Leaving aside how much the basic plot structure resembles that of episode IV the movie is full of little nods to the original trilogy for a start. Some of these are super-obvious, others less so but I'm trying to be as exhaustive as I can.
I think, the coolest, and probably most important Easter Egg that I had heard* of, comes in the final scene, where Luke is standing looking out at sea. Apparently, if you look close enough, you can see him looking at a tombstone. This is why he wasn't facing Rey, when she approached. So I looked more closely at the scene.
Yea. Were not given much to work with from that shot. It does show how he is looking away from Rey, looking out to the ocean. After some cool dramatic music, (which we will talk about later,) the shot pans to,
Do you see the upright stone. Sure, this was filmed off the coast of Ireland, a country that got torn up with glaciers, which means that there are lots of glacial rocks. So this could be any old rock that just happens to be sitting upright.
But this is a REALLY OLD jedi temple. The first one. Not that nooby CG one in Courosaunt.
So these rocks are old, and this tombstone is old, and worn, from years of being worn down from the sea winds.
Now. I don't really know who this tombstone is for, but hopefully we will find out.
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*Hence on heard of, because I didn't actually find this Easter Egg, but just investigated more on it, and interpreted it.

There are 2 storm troopers discussing "The new T-17", a nod to A New Hope, when 2 troopers discuss the new BT-16
""Have you seen the new T-17?"
"Yeah, look like they modified the ion engine"
"I still prefer the T-16's.""

Here's one right toward the end (fair warning for a potential spoiler).
On the island when Rey climbs to the top of the hill, you notice little zen stone pyramids. They're identical to the ones Luke built to practice using the force while training with Yoda on Dagobah. Interesting nod to the past and the future, given what is likely to happen between Rey & Luke in Episode 8.