Well, I can explain how all the levels are in the final game.
Phoenix Flares - This time, the city seems a lot more populated. You walk through the city streets and see lively market stores... and guards on patrol. After this level is beaten, you often revisit it, and it becomes the hub of the game where you can be airlifted to other locations, receive new powers from the shadowed one, and use energy crystals to buy new powers and items.
Rintu Desert - When you first enter this area, you come to a farm along the river side. As you go further and further, the land gets dryer and dryer.
Rintu Caverns - Dark deep caverns beneath the earth. Stalactites, stalagmites, and other features can be seen, plus signs of ruined buildings and things left behind by others.
Barren Mines - Deep within the caverns, there was once a mining facility, but now that the treasures are long gone with all of the earth's resources exhausted in this area, it's been abandoned. Some of the power generators are still here, and they can still work, but they have been shut down.
Dead Summit - Here, you meet up with Alucian once again, who's in a camp with several other soldiers. It's a very cold and brutal invironment, where sometimes, visibility is low.
The Ice Temple - It's on one of the highest peaks in the mountain range. The inside is much like the Sanctuary of Water and Ice in Rayman 2.
Shadowed Lair - A dark underground temple where many dark creatures live. Some places are so dark that Phoenixan is required to use his fire charge powers to light up torches to make areas visible. At the end of this level, Phoenixan is taken over by a shadowed creature and a character named Iris comes in and saves him, then a co-op boss fight begins. Iris follows you through the next worlds in parts.
Forest Night - A forest dense with foliage that blocks sunlight to the lower areas; however, it's not as dark as the caves or the Shadowed Lair. The pirates have constructed a complex system of tree houses and well-secured dwellings.
Swamplands - A place just as dark as the forests, only with plenty of new dangers... especially when it comes to the murky piranha-filled waters. (Keep in mind, in the full version, just like in Rayman 2, Phoenixan can swim in some waters, but you have a time limit in which you can spend underwater without gathering blue lums.)
Dawn Sand - This place is much like the same location in Rayman Arena. It's a beach front with plenty of plants, waterfalls, and rock features.
Undersea Launch Station - This world starts with an underwater segment kind of like what's in Whale Bay in R2, only there are some caverns where air pockets exist, and battles with vicious creatures take place. At the end of this segment, Iris seeks a shuttle that can be taken to the Prison Ship and Phoenixan is left to sneak through the base and shut down it's security and defenses.
The Prison Ship - Iris and Phoenixan fly the shuttle to the ship in the first part, and a side-scrolling shooter segment begins. At the end after reaching the Prison Ship (don't worry, you actually get to see them enter the ship), it's a place much like the inside of the same place in Rayman 2.
Lunae - This place is one of the two moons that you normally see in the sky on Rayman's world. I'm not going to reveal much of what happens here because of story spoilers, but it's as you expect from being on the moon.
Then there's multiplayer levels that take place in all the same settings!

There's also a bonus I've included called Pyra's Escape, which mostly covers how Pyra got from her world to the Rayian's world to set up kind of something unanswered in Rise of the Shadows. The environments in this case though are kind of recycled a little from the Prison Ship and Lunae, though there are also some original bits and pieces involved. After beating Pyra's Escape, Pyra is a playable multiplayer character.