Currently, there are no moveable LCDs/live preview on any DSLR. There is much debate over the practicality of it, since DSLRs have a mirror blocking the imaging sensor, which does not allow for a live preview. However, the Canon 20Da has a sort of live preview function, but it's pretty limited from what I've read, and not meant for normal shooting conditions (it's geared towards astrophotography). A lot of people argue that a second sensor could be used for the live view, but who knows if the manufacturers are willing to attempt that. I think a lot of people would really like to see live preview on DSLRs, but I don't know if the lack of live preview keeps enough people away from them to make the manufacturers care a whole lot...But I'm sure someone will market one in the near future.