PicTwiddle is an image viewer that remembers how you last chose to display each of your images, and displays them the same way.
Zoom level, positioning, cropping and rotation are saved for each image and reapplied when the image is next viewed. The zoom is adjusted when you go into fullscreen, so the views stay the same.
A Lite version is available for free.
PicTwiddle is optimized for fullscreen. You can view images, or browse folders and thumbnails in full screen. More Info »
Everything can be done either with mouse clicks, or with the many simple keyboard shortcuts, or using the toolbar which fades out of the way when not needed.