Something that I feel could make a fairly interesting category would be to speedrun fully evolving your starter. No gamepasses, boosts or items are allowed (except chests/mastery) time would start once you obtain your starter, and ends once your starter is finished evolving. As a sub category, an all forms category for twilat could be added (time taken to catch twilat and evolve it into all 3 evolutions.)

Something that I've seen a lot of people do that I think would make for an interesting speedrun is having any% mono-type speedruns. Basically, how long would it take to complete LL using a specific type of loomian. Some start times might be a bit different, as certain types are only available at certain times. Prevolves that would eventually gain that type are allowed, but trading is not allowed. If a Loomian loses the type upon evolving, you can't evolve it.

I just submitted a run, in which I completed a run, and had a run where the maze exit was visible, and I was right next to it, but died to a lazer. Could the run in which I died at the exit be considered as a fair run, or does dying end the run, because in a way, I did reach the exit, but died really close to it.

I was playing through chapter 2, and I noticed that there might be another possible run that has some very interesting planning. In chapter 2, they added a recruit mechanic. Instead of trying to recruit everything possible, the goal is to get through with the minimal possible recruits. The run must be pacifist, so you are not allowed to attack or kill the enemies. for each recruit, its plus one, and for each max set of recruits, its an additional plus one recruit. (for example in the battle with mouse, instead of recruiting all 3 mouse and getting max recruits, you can recruit a tasque instead, which would make it so that you don't max mouse.) Only enemies that have the recruit counter will add points to the run, so bosses don't add to the total. the lower the score is, the better the run is.