I don't really have a budget, but I keep very close track of my spending. Looking at my records for 2013, I averaged $75/month on video games. We share a very small lunch out together every day, choosing someplace that doesn't break the bank, and that (food, tax, and tip) averaged $222/month.
I bought a new TV and a new laptop computer in 2013, but I guess they don't count, and neither does cable internet, right?
It's hard to know what one would include in entertainment. Books? I have a Kindle and a library card so I get all I can read for free. For me entertainment is not a separate category; eating out is a subset of my food category, and I regard video gaming as my hobby and a separate category in its own right.
Like Daylatedollarshort, we find abundant free entertainment in our area. We spent zero on going out to movies, golf, skiing, concerts, drinking, sports, or other events. Mardi Gras is free and the parades go right by his house. We're 10-15 minutes from the French Quarter and it's fun to take pleasure drives around that area, or the Faubourg Marigny. Lots to do and see. Free museums, shows, and events abound. And that barely scratches the surface.
So, I guess video games and eating lunch out each day is about it; $297/month, just about the same as the OP.