General:
* Weepy
* Moist
* Watery
* Lachrymose (formal)
* Tearful
* Crying
* Sobbing (more intense)
More specific:
* Red-rimmed (eyes)
* Wet (eyes)
* Glistening (eyes)
* Blurred (vision)
* Drowned (in tears)
* Grieving (if tears are due to sadness)
* Joyful (if tears are due to happiness)
Figurative:
* Heart-wrenching
* Moving
* Poignant
* Sentimental
The best choice will depend on the specific situation and the desired tone.