When the first chips came out, General Electric fired back and introduced the Compactron in 1961. This was a vacuum tube containing multiple elements--like two triodes and one pentode--in a single glass envelope.
I have a few 15BD11 Compactrons, so I decided to build a radio. Turns out someone else already designed one with this very tube, and with a few light modifications, I got their circuit working quite well.
The design is a regenerative receiver, which means that part of the received signal is fed back to the input, greatly increasing the amplification and narrowing the bandwidth. This is done by adding a "tickler" coil in proximity to the main LC tank coil. In the pictures, you can see the tickler coil nestled underneath the Compactron.