The Teensy Breakout Board v1.4 was designed to allow for the use of
screw terminals with the Teensy LC (though it does work with the Teensy
3.x boards as well.) It does not break out all of the pins, but it does
solve some specific problems. Besides adding a method to mount a Teensy
via mounting holes, you can add in 2.54mm pitch screw terminals to make
it easy to connect and disconnect wires.
These boards were made for people who need to easily replace components
that might wear out (such as buttons) without having to solder new ones
in place. Replacing things requires only a screwdriver. Originally
designed to be used in museum exhibits, I've found these boards useful
for other projects and thought it might be worth sharing.