Try Nora's for very good and low priced Italian food. Go to the Peppermill Fireside Lounge for cocktails. It is old school Las Vegas. Stay at Red Rock Resort, Green Valley Ranch or the M resort. All are very nice.
Check out the Neon Boneyard (make reservations well in advance) and the Mob Museum (buy a combo ticket).
Take a tour of Zappo's (downtown). Make reservations online well in advance. It is free and most people do not know about this tour.
Mt. Charleston, Hoover Dam, Boulder City, Red Rock Canyon, Laughlin.
If you want to see all the things to do in Southern Nevada check out Tripadvisor.com
Safe and happy travels!