I wrote in the RS1 review that it has an excellent remote, and found the Sharp also to be excellent. Between the two, for working the menu, arrow keys and enter functions, I’d have to give the XV-Z20000 a slight edge. (I favor the menu/arrows/enter to be near the top, like on the Sharp, while they are near the bottom of the RS1’s remote. On the other hand, the RS1 has more buttons offering direct access to adjustments, not only a separate button for each picture mode (Standard, Natural, Dynamic), while the Sharp has a single button for picture mode bringing up a menu. The JVC has a button for each saved memory, plus buttons for color saturation (up and down), contrast, brightness, gamma, color temperature, and so on. The XV-Z20000, does have some good buttons too, including iris, contrast and brightness, but in all cases, it still brings up menus, rather than direct control.
So from a feel standpoint, the Sharp remote has a slight edge, and from a functionality standpoint the JVC wins. Still, both are really good remotes, and both have no range problems in larger rooms. Lastly, both have backlights that are sufficiently bright.
To see the two respective menus you can click here for the picture of the JVC RS1 remote control, and click here for the image of the XV-Z20000's remote control.