Are there any new models of camera with flip-out and twist LCD screens?

Check out the Canon Powershot A650-IS, which has the flip and twist monitor you want.

http://www.dpreview.com/reviews/specs/Canon/canon_a650is.asp

You might also still find an A640 or A630 available. Either one is a fine camera, but without "IS."

I like the way you think... "Cheap" = under $500. :-)

go to sony.com or dell actually cheaper through dell buy a sony dsc-h9 it has a flip out and turn 2.5 inch lcd screen and can also take picture in near total darkness. I purchased the dsc-h7 and should have waited for the 9. it is not a small camera but you can take incredible photos with ease. it is my first digital camera and the zoom on it is incredible. 15 times optical zoom,8.2 megapixels so you can make perfectly clear photos 8.5x11 and even larger.its cost through dell is 370.00 bucs also buy an extra battery its handy to have when your out all day and cant go back to the hotel to recharge it.

canon has the patent of flip-out and twist LCD screens. so i guess only canon's cameras have that.

A650is