What is your aversion if you’ve never cut yourself?
Besides that, serrated knifes make it practically impossible to cut yourself. You'll feel the cut way before you've sliced through any of your own meat, and that's precisely because you're "sawing" the food, or your flesh in that case.
I honestly can not think of anything (other than sticky cheese) that would be impossible to cut with the serrated knives I use. I cut up herbs, vegetables, meats, fruits everything. Come to think of it, they even cut crunchy bread with ease too, which usually requires a "bread" knife in a usual kitchen.
I don’t know how you could possibly mince herbs or dice vegetables into small cubes with something like that knife though. You need the flat slicing motion. Interrupted cutting like a bread knife does will lead to very messy cuts.
An easy go-to meal I guess is like stir-fry with a diced-onion base, which includes a lot of cutting of the above. I've never struggled as long as the serrated knife itself is not super old. They do eventually get dull and the bumps aren't enough for comfortable cutting.
My go-to knife that's really good quality and cuts everything with ease is this one: https://www.amazon.com/Victorinox-Classic-Serrated-Utility-H...