I guess polar is a very relative term here, that could be confusing. In terms of the typical hexane/EtOAc system that is most commonly used in TLC, I personally consider anything above 20% EtOAc to be polar. At 40% EtOAc just about everything will start to run, except for maybe a free amine (but even some of those might start to drift off the baseline). 10-20% runs my nonpolars about 1/4-1/2 up the plate and keeps the polars stuck at the baseline. For certain amino acids I have resorted to either DCM/MeOH or CH3Cl/MeOH and I do consider that to be much more polar than hexane/EtOAc.
Collin_det, I have run some amino acids in that system, but it really depends on the compounds that you are trying to separate. As I stated above, other times I've resorted to DCM/MeOH.