I've got the Breville Smart oven, and I absolutely love it. It fits a 9x13 just barely (one with handles will NOT fit), and the heating is even enough that a 9x13 will actually cook beautifully, even without convection mode on. The only time I wish it was a full oven is when I need to do something with a sheet pan. Cookies take many batches. And you can only bake one cake layer at a time. The toaster oven does not heat up the kitchen too much, but the top of it (and anything on top of it) gets very hot (this is billed as a plate warming feature, but I kind of feel like it's good marketing spin on a slight irritation). I would expect it to have no problem at all with your cornbread or with pizza (it's got a curved back, so it can do a larger than 9" pizza. I don't know how big, but it fits the generic pizza stone we have) - it generally works *better* than my full size oven. I've only had heating go a bit weird when loaves of bread have risen so much that they start to get unnervingly close to the heating elements. And even those have been okay with convection on.
Shop around though if you want it. The regular price is a bit more than you'd like to spend, but sometimes you can get good deals.
I've got the Breville Smart oven, and I absolutely love it. It fits a 9x13 just barely (one with handles will NOT fit), and the heating is even enough that a 9x13 will actually cook beautifully, even without convection mode on. The only time I wish it was a full oven is when I need to do somethin...

