An intake, header, and full cat-back exhaust system might give you an additional 10 or 15 more horsepower (maybe 20 or 25, but that's pushing it) over your stock engine, but you're still far off from holding your own against a turbo'd car. That could push you close in the range of 120hp.
Is your car a manual or automatic transmission? If it's manual, you could consider a B16A swap. It's the VTEC Del Sol engine and will fit in your car without too much modification. I think they can be had for about $2,000 and come with 160hp stock. You'll need some other stuff too to go with the swap to make it work. As for a header, I would suggest a 4-1 header over a 4-2-1 header. I'm not as familiar with where to get them, so maybe others have some suggestions? My roommate's got all the hookups for where to get parts so I don't usually have to look myself.
You still get hella better gas mileage than him.