Mobile Antenna mounts.
Magnetic mounts.

These stick onto the metal of a vehicle (the roof is best), and have the advantage
that you do not need to drill holes in the vehicle.
These are easily removed, so should not be left on when the vehicle is unattended -
these have often been stolen. Also, beware of scratching the paint work, as this
can happen.
Bolt mounts.

These need a hole to be drilled to fit them, but the direct connection to the
metal of the vehicle body gives better results than a magnetic mount. The one
shown has a mounting that allows the angle of the antenna to be adjusted to allow
for mounting on a non-horizontal surface.
You should be careful where you drill the hole and make sure that the top is water
tight.
Gutter mounts.

Possibly a bit difficult with modern cars, but these would clamp to the gutter of
a car roof. To connect to the car body, some paint should be scratched away where
the screws clamp it. They do allow a direct connection to the body, but without
drilling a hole.
Mirror mount.

Useful for trucks, where the cab body is often fibreglass. The mirror provides
the required connection to the metal of the vehicle.
Window mount.
Some antennas were made with sticky pads for sticking on the window. As the antenna
is designed to work this way, the mount was not available on it's own - just with an
antenna. These were useful for fibreglass cars such as the Reliants.
Boot mount.

This mount fits to the edge of the boot door.
There are also similar mounts available for the rear door of Estate cars and
Hatchbacks.