Micro/standard servo resolution
A model servo of any size (standard, micro, doesn't matter which) is very unlikely to even approach 0.1degree resolution in any useful sense. Ordinary model servos have more than that in gearbox slop.

0.1degrees is 1 part in 3600, or almost 12 bits (1 part in 4096) 

My 'knee-jerk' reaction is that is geared stepper motor territory. A 200step stepper motor with a 18:1 gear ratio, or greater, could get into that region.

Do you mean resolution or do you mean accuracy? Resolution might be okay if you have some other feedback mechanism, but if not, you might mean accuracy.

Edit:
Almost all model servos have gearing. To approach 1 part in 3600, the gear train will need to be very well made, with anti-backlash gearing to minimise 'slop'.

Many servo's use potentiometers to provide the internal position feedback. I would not expect the potentiometer could provide any where near 0.1% resolution (much worse than 0.1 degree). So I don't think potentiometer-derived feedback will be good enough.

However, there are rotational position encoders, e.g. AMS magnetic position sensors capable of 14 bit resolution, so 180 degree would still be 13bit. One approach might be to contact high resolution position encoder manufacturers and ask them if any of their customers makes something that would satisfy your requirements.

Please explain the problem you are trying to solve, and we might be able to offer better help.