I was actually gonna post a Pokemon dream I had here. In the last two weeks, I've had two. The first was... Odd. I saw a status menu for my party. Except the menu was horizontal and under each member tag was the move list. And there were 4 members. There was the trainer who looked like a mix of Gary and N but with white hair. His moves were like trainer commands (Throw pokeball, run, dodge, etc.) and magic. Then there were 3 Absols (as one member) that seemed to have variations of Tri-Attack. They each also had fire, ice, and dark magic. The other member was the ice Absol with Ice Beam, Blizzard, and a bunch of made-up ice-type moves. The last member was the trainer and the 3 Absols. I don't remember that moveset. Also note that each "member" had 10 moves each or something.
The other dream was 1st person Pokemon. I went to my first center and this kid with a weird book challenged me. I lost because I couldn't use the center after grinding but before the battle. I blacked out and reappeared in a place that looked like the alternate world and the kid and his Chespin kept challenging me and winning. I then rage-quit, started lucid dreaming, and flew through my dream world with the Scribblenauts notepad.
When I was younger, yes, I did. When Yellow first got announced and they said it was more like the anime, I had a dream about the game having as many towns as they had visited in the anime. I was sorely disappointed with Yellow by the time it came out.