The mod list does have a column for mod group that includes striking, grappling, kicking, and fun; but it won't be allowed to be editable by modmakers, as its used to place mods for matchmaking. You can search specific mods and see how they are categorized, but you cannot search the database by mod group or mod category.
It's not exhaustive either (e.g. since not all striking mods are desirable in striking matchmaking).
Most players who have been around a while should be able to know how most mods fall into these categories, and should be able to give you a decent list for each category.
Making a list might be something I set out to do in the future, but it's not even close to a priority for me.