Is there any analog meter with the needle capable of a full revolution?
Very unlikely.

These analog meter movements work by the current thru them causing a magnetic field, which causes a torque on a permanent magnet.  In some cases, that torque works against a torsion spring.  In other cases, the external magnetic field is effectively rotated.  However, it is not commutated, so it can't rotate indefinitely, like it does in a motor.

Look up something called a D'Arsonval movement.

I did once make a 360&deg; analog indicator, but it wasn't just a simple analog movement.  The input signal went into a microcontroller.  That then controlled the drive to two separate coils wrapped around the movement, but carefully hidden.  The micro did the math to find the &plusmn; drive value for each coil to get the indicator to rotate to the appropriate angle.  The purpose was to make a computer-controlled compass in a aircraft simulator, actually using the real compass to make the cockpit look as authentic as possible.