Now wouldn't something like this: https://www.electro-tech-online.com/custompdfs/2012/07/SS-202.pdf do exactly what you ask and even more?
Three relays, one for each phase and the contacts in series could also detect if 3 phase is present, but it would not tell you much about the quality except that it was below the dropout voltage of the coils. The contacts in series make up and AND gate. If v1 > x+-h1 and V2>x+-h2 and V3>x+-h3 then turn on LED. h1, h2 and h3 are the hysteresis numbers of the coils which aren't exact. x is the nominal pull-in/drop-out voltage.
Three relays, one for each phase and the contacts in series could also detect if 3 phase is present, but it would not tell you much about the quality except that it was below the dropout voltage of the coils. The contacts in series make up and AND gate. If v1 > x+-h1 and V2>x+-h2 and V3>x+-h3 then turn on LED. h1, h2 and h3 are the hysteresis numbers of the coils which aren't exact. x is the nominal pull-in/drop-out voltage.