There was a big headline a few months ago, that Honda has never had a V-Tec engine failure ever (don't quote me on this)
The engine, therfore, should be fine, as long as it hasn't been molested or upgraded in a cheap/unreliable way.
Otherwise, the only problems you will encounter are the usual associated with higer mileage cars - suspension etc...
Good luck with getting an Integra - one of my fave affordable cars - and post some pics when you get your new "ride"