Coils were widely used as 'aerials' in radio receivers. In the 1920s and 1930s, coils of area in the order of $0.1 \text m^2$, called 'frame aerials' were often built into receiver cabinets. From the 1960s much smaller coils wound on ferrite cores were often used. The emfs induced in these coils by the oscillating magnetic fields of broadcast radio waves (of frequency in the order of 1 MHz) were processed to extract the modulation – an audio signal.
So we had Faraday's Law in action. Any electricity generated would be minuscule in amount? Maybe, but it was enough to power headphones so that you could hear a broadcast from a transmitter at least 100 miles away. That's using a 'crystal set' without amplification!