For each type of burst (like idol specific burst, Solo Burst 3, Duo Burst 1, Duo Burst 2, Triple Burst 1, Triple Burst 2, etc, etc.) there's a different burst sequence. So, there's a lot of burst sequences you can view in this game.
You can also view them in the Stage 4 you by equipping the corresponding outfit and bursting on stage (unfortunately you can't wear whatever you want if you want to see a specific burst with a different outfit). Another problem is that you need to equip an accessory or something to give you the necessary charge level. So, for example, even though it's just Stage for You I need to equip something like the tiara if I want to view a duo burst or triple burst. Otherwise, it will just go to the default idol specific burst if you just wear the outfit and have no equipment for charge level. So, I can't wear just the outfit only if I want to see a different burst sequence unless I equip an accessory for charge level.
Keep in mind that you don't have to build charge level (using memories) in Stage for you to see things like Duo or triple Burst. You can just burst right away and see it.
I hope I said everything correctly.