By the way, the gyro has 3 degrees o freedom. Sure there are, like interferometer gyro used in military, airborne, ...they are also more or less perfect. The gyro in the Airbus can't compete with that in F16. As for consumer electronics, the MEMS gyro is very accurate, the unstability and noise is eliminated trough fusion algorithms - Gyro + Accelerometer + Magnetometer = 9 DOF.
P.S.: There are also more accurate MEMS gyros also, see Murata and other, they are industrial type, very precise - also suffer from bias as all MEMS.
Note that even inteferometer suffers from drifting: As the Earth rotates, it makess a 360 deg turn trough the entire day if you integrate the angular velocity output. It's up to you what performance you expect from a gyro.