While some may regard the Glock's trigger as "funny looking", the Glock actually uses a very nice combination of single/double action which AFAICT is unique among handguns. This combination has two great features, one of which is AFAICT unique among handguns.
First of all, the Glock isn't really a DAO; it's what I'd call an IAO. On a DAO pistol, all of the cocking energy comes from the trigger; on the Glock, Sigma, Kel-Tec P32, etc. some of the energy comes from cycling the slide. While the hammer/striker is essentially uncocked when the trigger is not depressed, having the slide provide a little energy to the hammer/striker allows for a nicer trigger pull than would be had on a DAO pistol. This is a nice feature, but it's not what sets the Glock apart.
The first shot of a Glock, as noted above, is essentially double-action. Unlike double-action firearms, however, which decock after firing, the Glock recocks against the trigger. While it is necessary to release the trigger partially before firing again, the Glock will remain substantially cocked as long as the trigger is held. When the trigger is fully released, the gun decocks (some cocking energy remains, as noted above, but not enough to fire a round). Thus, as long as the user keeps the trigger partially pressed the gun will work like a DA/SA. When the user fully releases the trigger, however, the gun will automatically decock (unlike DA/SA pistols which will remain cocked). In many ways, then, the Glock provides the best of all possible worlds.