How long have you had the system for and when did the problem first occur?
Additionally, does the system actually start playing the DVD (as indicated by the readout on the display), but simply not show a picture on the TV?
This indicates that the power supply circuit inside the unit has a failure. One of the voltages has dropped and is not supplying the initial startup current required to start up, and keepo the unit playing. The fact that you're unplugging it and plugging it back in, is resetting the power supply. This is due to often a failing regulator IC, one or more failed capacitors, or a short in the power supply itself. The average cost for this type of repair is between $1250-$175 parts and labor, which may make repairs cost prohibitive. If you'd still like to have the unit repaired, you can use the link below to locate a tech in your area: