AKA Old_School
Mate, say nay to the naysayers! You want to do a project then do it! It's good for your personal experience, you might create a design a certain number of people like. Heck, I remember doing one of these and found it performed a lot better than IE because it wasn't so full of junk. Hence I used to use it on my old computer, as I wanted something that was quick and didn't take 5 minutes to load. If you want to make your own browser with your own features and to make it a big project, more power to you. I mean how many people here have been attempting their own take on the FPSC genre? Or attempted to make their own attempt at making puzzle games? I see it as being no different. At least it's healthy as a coder - if it isn't successful it's a good learning experience.
I think people should be encouraging people to practice their coding skills and not only that but to experiment and push their creativity. Naturally as you're posting you'd receive constructive criticism on how to make improvements, for example, the graphics.
Also, here is what I did a few years back - basic, using the built in browser window, basic VB (and easy as pie), but I still had a bit of fun coding it - though obviously mine was a lot smaller scale.
Linky