Yea DL has biz jets, can we count LH for PrivatAir? Those FedEx Challengers and Lears are neat-o. I flew on them when I was like 2....Mainly b/c my dad used to fly them before moving on the mainline FX aircraft.
FedEx also has a Global. Saudia has a Falcon 900 and Gulfstreams painted up. Cathay and Singapore have Lears for crew training. The Delta subsidiary is Air Elite with several managed bizjets, as a result of its acquisition of Comair.
My definition of cool ? Not trying so hard to be cool.