You can hire a limo to take you almost anywhere in Las Vegas, including the airport pick up and drop off. There are dozens of companies that you can book online that provide this service and there is also a walk up service available at the airport.
McCarran Airport walk up service:
At terminal 1 head outside exit doors 7-13.
At terminal 3 head for level Zero, there are two limo areas, one on the west side for domestic arrivals and one on the east side for international arrivals.
Limos are available both for private hire to your hotel and also on a shared basis as an alternative to a shuttle service or taxi.
Limo companies that work out of the airport on a walk up basis are:
Bell Trans
Las Vegas Limousines
ODS Limo
Private pre-bookable service for the airport:
Starting at $90 for a round trip to and from the airport on arrival and departure. This includes the airport fee set by Vegas airport, but does not include a tip for the driver.
Companies include:
Bell Trans
Las Vegas Limousines
ODS limo
Las Vegas Prestige Limos
Omni Limos
Presidential Limos
Executive Las Vegas
Other trips:
Limos can be hired on a by the hour basis, perhaps for a drive up the strip, a visit to downtown in style or a unorthodox method of transportation to the outlet malls.
Rates start from $38 an hour, not including a tip for the driver.
Companies as per above.