Well, Beretta makes several pistols that work similarly to your Taurus, but they are double-action only for the first shot. After that, they stay cocked, and a lighter single-action trigger pull is used for all subsequent shots. The first one is a .22, very similar to your current handgun:
Model 21 Bobcat
and the second one is a bit larger, quite a bit thicker, and in .32 ACP caliber; but once again, you'll see the similarities between it and your Taurus:
Model 3032 Tomcat
Besides these, there aren't many other choices in the tip-up barrel autoloader category. Beretta used to make a larger .380 with that loading system and a DA/SA action style (the Cheetah), but is has been discontinued for a while now, and used ones are a bit expensive, but they are out there if you want to find one bad enough.
Any others that I'm forgetting here, folks? Chime-in if you know any!
"Placement is power" -- seen in an article by Stephen A. Camp
(RIP, Mr. Camp; you will be remembered, and missed)