There's a slight bit more to it, actually.
The main difference is styling wise;
Different front end styling on the Acura, which is similar to the front end of the European car. Although, the earlier JDM (Japanese Domestic Market) Integras had the same front end as us, with the funky 4 headlights.
See the difference:
1994-1997 Acura Integra, European Honda Integra, and 1994-1995 JDM Honda Integra
1998-2001 Acura Integra, 1998-2001 European Honda Integra
1996-2001 JDM Honda Integra ( I believe it was sold in England & Germany for one year, too.) (Don't mind the silly wing, couldn't find a stock one fast enough...)
Now, onto the harder to notice part. The European version of the Honda Integra, save for a few cosmetic details ( rear fog lights, front end that is similar to the Acura version) is exactly the same car as the JDM version. The Acura version has different impact beams to cope with US regulations, different anti-pollution equipment. It was Left Hand Drive, too, and had a bit more weight added to it. The suspension had been retuned a bit to make it cope better with our roads. And, well, the badges.
That's basically it.