BudgetGadgets Green lasers are not reliable with power output. You could buy something that says 200mW and it's actually outputting 80mW. In which case you're getting ripped off. If you want a burning laser, the $40 budgetgadgets 200mW red one is the only option. If you want a green one for the beam. Be prepared to shell out $200 at o-like. I just bought their 400mW from them for that price. It spikes at 550mW. Theres the difference.
I actually have the 200mW red focusable one from BG, and it's very good, pops balloons and burns black plastic and shit. But you can't see the beam even in the dark. my 50mW green shows up way better lol and its 1/4 the power.
Once again though, I can't tell if my 200mW laser is actually 200mW other than reviews on this forum.
Burning: IR light doesn't matter cause you're only using it to burn stuff.
Light shows: IR is bad cause funnily enough the human eye can't see it. You want as much laser radiation in the colour you're buying.
So yeah,
Burning: 200mW budgetgadgets red (cheap and effective)
Green: always buy from o-like, they are a very reputable website. (check reviews on here before buying ANYTHING)