Many years ago, laundry sinks were primarily used to capture washing machine or air conditioner waste water and provide hot and cold water to washing machines. You seldom ever thought of doing laundry in them.
Now with washing machine wall bibs (see it just to the left of the wall vent), there is really no need for the typical laundry or utility sink if you don't really want one.

Our basement kitchen/laundry room
Traditional laundry sinks can be replaced with better looking sinks and cabinetry for a more finished look to your laundry room without a loss of functionality.

Our basement kitchen and laundry pictured above, definitely required a laundry sink, but not it's utilitarian character. We solved this problem with a heavy duty 20 gauge stainless steel sink from FrankeUSA. The sink is 20"W x 20"L x 10"D and goes easily into a 24 inch sink base cabinet or larger. It is mounted over the counter.

We like the sink because it's relatively large and deep size. This allows us to hand wash sweaters and other clothing in a sink that doesn't receive laundry waste water and other waste water. The sink also plays a dual role in our basement kitchen. It can be used as a spare sink to wash vegetables and fruit if need be.

We found this sink at Lowes Home Improvement Stores and think it's really very good value for the money. It's best to call the store though in your area to make sure they stock it.