Is it as fast as a film camera, or do they still have that delay?
Digital SLRs have no delay, nor do most reasonable compacts (a few mobile phone cameras have horrible delays still).
Indeed the Nikon D90 can shoot 4.5 frames per second continuous.
The Gadget Show recently compared high-end film with high-end digital SLRs, blowing up the final images to *huge* building-size posters. The digital image won hands-down in terms of sharpness, colour, shadow and highlight detail, etc.
The biggest pain of film was only 36 shots, then a couple of minutes to 'reload', worrying about light and dust getting in to the camera. Digital can capture hundreds of images before changing cards, plus card swapping takes seconds.