Disclaimer: I'm going to be completely ignorant, and neglect to discuss any of the other options because a) it seems this discussion is extremely LX-5 and S95 focused, and b) I really don't know much about the others...
Depends what you have, and what you want... The LX-5 appears to be a better camera overall. While the s95 wins on pocketability, the actual work as a camera seems to be better on the LX-5 (focal length--I like wide angles

--, lens, burst shooting, movie options, etc.), BUT (the inevitable but)...
Your choice will largely be dictated on what you have already. If you have a DSLR or m4/3rds, you are probably getting the point and shoot as a smaller alternative, and would lean towards the s95 due to the size. If you are looking to upgrade a point and shoot, or simply to get a "good" camera with more creative control that's not in DSLR price territory, then you might lean towards the LX-5, despite it's (relatively) larger size. Unless you dislike the size in the first place, in which case you probably wouldn't be considering it from the start.
Either way, through the beauty of cognitive dissonance, you're likely going to enjoy your purchase regardless of your final choice. Don't worry; you still reserve the right to ogle at "the other."