Currently, all driver's licenses are valid for domestic travel. However, after 2014 or 2017 (depending on your age), only REAL ID-compliant driver's licenses will be accepted. I don't know if NY is planning to upgrade their non-enhanced licenses to REAL ID standards, but it sounds from what they said like they are not. This is, of course, assuming that the REAL ID Act doesn't get repealed, modified or delayed.

Other than that, the only benefit to an enhanced license is the ability to drive across the border to Canada/Mexico without a passport.