Since the video quality between the Panasonic Lumix TS1 or Kodak Playsport look similar, I'd suggest making your choice based on whether you want higher quality still photos or not.

For 12MP photos, go with the Lumix TS1 digital camera -

For 5MP photos an a mini camcorder (focussed on video) go with the Playsport -

Since you mentioned underwater shooting, I think you can get what you need with one of the above options. In your case, I'd forget the Kodak Zi8 unless you want to forgo the underwater option.