The Sony HX80 is a "new" compact zoom camera, but there really isn't much new about it. Basically, the HX80 is the older Sony HX90 without GPS.
Both cameras offer a 1/2.3 inch sensor paired with a solid 30x optical zoom lens. The HX80 and 90 is very small considering the big zoom range, weighing just 8.64 ounces. The camera also features a pop-up electronic viewfinder, which is a nice feature that's getting harder to find in the category, as well as a tilting viewfinder.
Burst speed is a solid 10 fps. Manual modes and optical image stabilization are also included. Video quality is the same, though the HX80 does offer some additional lower quality video resolutions for when memory is running out.
The Sony HX80 looks like a solid camera for the price and category, but so did the HX90. The starting list price is much more affordable on the HX80, but with the HX90's age, you may find a lower sale price. Essentially, it's a solid option, but if the older HX90 is cheaper, you really won't miss out on anything by picking that up.