angry, bitter, emotional
There were angry tears in Lily's eyes.

happy
burning, fresh, hot, salty, warm
Her eyes were blinded by scalding tears.

genuine, real, wet
crocodile (= not sincere)
They weep crocodile tears for the poor, but do nothing to help.

great, huge, large
single, solitary, stray
I wiped a stray tear from my eye.

silent
helpless, sudden, uncontrollable
unshed
His eyes were bright with unshed tears.

cry, shed, weep
I won't shed any tears when Moira retires.
She wept silent tears when she heard his name.

brush, brush away, dry, wipe, wipe away
I picked the little girl up and helped dry her tears.
She wiped a tear from her eye.

blink back, choke back, fight back, hold back
He had to fight back tears of frustration.

stop
I couldn't stop the tears.

hide
He turned away to hide his tears.

break down in tears, burst into tears
She broke down in tears in court.

move sb to tears, reduce sb to tears
His father's angry shouting reduced the little boy to tears.

brim with tears, fill with tears
His eyes filled with tears.

end in tears (= to have an unhappy result)

appear, brim in sb's eyes, come, escape, fill sb's eyes, form, gather, spill from sb's eyes, spill over, spring into/to sb's eyes, start, well, well up
He could never read the letter without tears coming to his eyes.
Her tears spilled over her cheeks.

drip, drop, fall, flow, overflow, stream (from sth)
She ran out of the room, tears streaming from her eyes.

course down sth, flood down sth, pour down sth, roll down sth, run down sth, slide down sth, slip down sth, spill down sth, stream down sth, trickle down sth
A single tear rolled slowly down her cheek.

stain sth, streak sth
Tears streaked her face.

glisten
Tears glistened in her eyes.

stand
Tears stood in Oliver's eyes.

blur sth, cloud sth
Tears blurred his vision.

burn (sth), prick sth, prick at sth, prick in sth, sting sb's eyes
She felt tears pricking her eyelids.

dry, dry up

duct, gland
gas
The police fired tear gas at the protesters.

in tears
He came to me in tears.

through your tears
She tried to smile through her tears.

tear for
He shed no tears for his lost youth.

tear of
tears of happiness

tear over
It turned out to be a lot of tears over nothing.

bring tears to sb's eyes
It brings tears to your eyes to see them having such fun.

close to tears, near to tears
More than once I came near to tears.

a flood of tears, floods of tears
We were in floods of tears at the end of the movie.

a mist of tears
I watched it all through a mist of tears.

on the verge of tears
with tears in your eyes
wet with tears
Her cheeks were wet with tears.

Tear is used with these nouns as the object:
dress, fabric, flesh, gash, gaze, hole, ligament, muscle, page, paper, sheet, tendon