None that you are missing jump out at me, rather, that jumps out at me is how many you can probably eliminate (as you mention). I've had a budget for more than 10 years, first as a single person and now with a family, and one's I've not had include:
-trash-we currently bring to a local center, but we live in a rural area and may not be possible for you, but you could look into decreasing with use of recycling and possibly composting.
-liability-you don't list car expenses, so I'm not sure what this is for or would cover?
-life insurance-not needed unless you have children and/or a dependent spouse and even then should get term
-travel insurance-why?
-dental and vision insurance-in my experience these do not make sense financially unless they are subsidized by an employer (we currently have neither, and spend $50ish every few years on eye exams and glasses from Zenni and $200 or so a year on dental out of an FSA)
-dry cleaning- can possibly get by without it, or minimize it
-haircut-can possibly cut your own or find a friend to do (check out youtube).
-toiletries and cleaning supplies- can make your own for pennies from grocery store ingredients for most
-gym-I'd seriously look at how much value one is getting from this (most don't get their money's worth).
Getting rid of some of these categories may not make sense for you, or may take time (like learning how to cut your own hair), but I'd be careful about jumping out into the working world with the mindset that all of these are necessities either.
Also, you might want to consider grouping some together. For example, we just have a "spending money" category that we use to cover all eating out, any haircuts if I ever wanted to not cut my own, all clothing (since we have pretty established wardrobes), all all other "fun" spending (and if curious, my spouse and I each get $75 a mo in this category, which we actually usually find to be more than enough and is not usually spent).