Multiplexing to a non-matrix of LEDs

I'm sure this was answered in a thread somewhere but I had no idea what to search for.

I'd like to use 40+ LEDs but not in a matrix. What hardware should I acquire for such a task?

You can wire them like a matrix even though they will not be physically in a matrix. Alternative you can control them individually, using a port expander, or shift register or LED driver chip depending on the sort of control you want.