Millions, indeed, and that's the problem.
If you search for 'time delay on power off', you still get a bunch, most of which seem to assume the presence of an 'always on' battery connection. ... which makes the task straightforward using a 555.
If you want to package your circuit in a black box that doesn't require a battery connection, then the black box needs to store some energy. That could be as simple as a big capacitor across the relay coil, both fed by a diode to turn the relay on fast when the power comes up. The timing is then determined by the capacitor charge, the resistance of the relay coil, and the dropout voltage of the relay. If you want better precision, then you need for the capacitor to supply power to the resistor and your timing circuit. I couldn't find a circuit like that with a bit of searching, but you may be able to work it out for yourself.
Mike Halloran
Pembroke Pines, FL, USA