Yeah, they are quite thick, but many are pretty short (those 3xAAA versions with the cartridge range from 3.5" to 4"). I recognize some of the shortcomings of multi-LED lights such as thickness, weight, and lack of throw, but I can get these for $5-$15 vs. $30+ for a single Lux-based light. For most people who use their lights to light a room or walk their dog, throw doesn't seem to be much of a concern. I understand your desire for more throw, so these are out. But hopefully I'll get more input from others.
I bought a Nuwai (River Rock) TM-311H 0.5W 2AA light as a x-mas gift for someone, but I haven't seen the output yet. I'll let you know if I get to see it this weekend how bright it is compared to my Lux1 and Lux3 lights.
I think you'd want at least a 1W. Some 1W lights produce more light and more throw than many 3W lights. Case in point, my Lux1 Streamlight Scorpion LED makes about 40 lumens and a lot of throw vs. my Nuwai Q3 Lux3 that makes 27 lumens and much less throw. The Q3 is not driven very hard, and the SL Scorpion Lux1 is likely being slightly overdriven, but I still get 2-2.5x the runtime off the Scorpion (of course, it runs on 2 batts vs. 1 also). But good Lux1s make very good light. If you want a 1xCR123 light with decent output, great runtime, and ok throw, check out the Nuwai ALX-2611X. Not quite the throw of a Q3, but 2-3x the runtime! I got the Q3 mainly cuz I like the looks and colors and it has good performance, tho I wish the runtime was better.
There are some very low-priced non-Lumileds (but still 3W) CR123 lights I'm looking into. If you don't want to spend the big bucks, those might be a intro for you to the Lux-realm.
If you want a 2xCR123 light, I highly recommend the Streamlight Lux1 lights: Scorpion LED, TL-2 LED (gen2), and NF-2 LED...great output and runtime and considerably lower priced than their competition.