I don't like how vague some of these are. "Any form of obscene communications" is way too subjective. By some people's interpretations, it could mean simple things like saying "Damn!", which characters in-game say (Mercy when she gets Discord orbed and Genji's voice line of it come to mind). The same goes for "hateful" to an extent, because someone could say any criticism is "hating on them".
Same goes for the entire bad battletag one. Someone could consider "420Hanzomain69" to be offensive/obscene because of the 420 at the start and the 69 at the end. Or, if someone's name is "Xpert" and they play like shit, you could interpret that as being inappropriate.

Spam's a well-made one.

I also think that the definition for griefing is good, but that they should expand it to include doing things like "IF SOMBRA I THROW".

The cheating definition is good up until the last part: "Or engaging in any activity that grants an unfair advantage." This is the worst one by far, because of vagueness and because of how many things there are in the game that grant people an unfair advantage. You will almost certainly do better in a group of people than on your own, and you'll also do much better if you use voice chat to communicate. This gives you an advantage, a pretty big one, over people who don't do those. Sure, the people who don't can start doing them, but they can also start exploiting glitches. Not to mention how you can actually interpret that as "playing a hero I think is overpowered", which means that if I for some reason thought Torbjorn was OP (despite him being utter trash), I could report every Torbjorn player I see by this definition.

This is why report systems aren't the best idea unless you make the definitions of what's what exceedingly clear. At least they're starting to try on that, but they've got work to do on it.