I think the best Italian Ristorante is Lo Sole Mio website
http://losolemio.com/
It is in a residential area just North of I80 and west of I480. It is a family owned business, and the only downside is they don't take reservations. You can find a map to get there on the website.
Upstream Brewery is also a good brew pub, with 2 locations 1 in the Old Market, and one clear out west on West Center around 170th.
Another interesting place for a little bit liter fare is Brix at Village Point. They have a big wine, and distilled spirits store that also sells some micro brew beers. Next door they have a wine bistro, which they have also have a chef make some food.
http://www.brixomaha.com/wine-lounge/ is the Wine Lounge part, and you can click on the main page to see about the store. The Wine Lounge has over 60 bottles of wine that you can taste or get a full glass. Neat place if you like to try different wines.