Kalitta Air has Home Basing.
Western Global has Worldwide Home Basing, but is typically considered a lower-tier carrier.
ATI has home basing, but is typically considered a lower-tier carrier.
NetJets has Gateway Basing.
There are a number of other charter operators with Home Basing.
Atlas has Gateway Travel (not as good as Home basing).

All of the above you do not worry about commuting. The company buys you a ticket, and it is their responsibility to get you to/from work. Some of the pilots at the above companies really like the fact that you don't have to worry about commuting.

PM me if you have any questions (I was Rucker, 86-02, Air Force).