Bravo, I enjoyed the video.
There are quiet a few "standardized" combos in brawl, aka combos that always link together. If you compare them to the melee standardzied combos, it's not nearly as cool looking or impressive.
This is where things get different, for better or for worse. Brawl "combos" require alot of reading of your opponent to link attacks. There is no muscle memory button memorization that once you start X move it will lead into Y and Z effortlessly. You have to wing it as you go, and react to your opponent as you go, and you will make some beautiful combos. Melee had this too of course, and they were far more impressive than the standardized stuff.
Ex.
Standardized melee: waveshinning with fox, character dependant, you can mix it up with dairs, but in the end, it is a guaranteed chain of attacks, followed with an upsmash.
Standardized brawl: ic's climbers has alot of chainned attacks, there are a few characters like squirtle that can chain uptilts to like 60-70% damage. Fancy level is meh, sparing IC's who actually look pretty cool.
Go with the flow melee: falcon was one of the most amusing characters to do this with, because whether your techchasing or reading aerial movement, you are predicting their next move which will allow you to react properly and continue the combo.
Go with the flow melee: going to have to use trainer again since its my main. Ivysaur can nair-utiltx2-uair. The uair is dependant on whether they airdodge, meaning you have to read them. If you read them you can uair to up+b or another uair maybe. Again not nearly as cool looking as melee, but you gotta accept that.