direct, fixed, level, steady, watchful
She felt embarrassed under his steady gaze.

intense, intent, penetrating, piercing, searching
clear
cold, cool, hard, icy, steely
angry, critical, stern, withering
curious, questioning
blue, dark, grey/gray, etc.
His deep blue gaze held hers.

public (figurative)
Rock stars are constantly exposed to the public gaze.

direct, fix (sb with), focus, turn
They fixed their gaze on the dark line of the coast ahead.
She fixed him with a level gaze.
He turned his gaze on me.

catch, meet, return
She refused to meet my gaze.

hold
follow
I followed her gaze and spotted a lion on the horizon.

avert, drop, lower, shift, tear
She deliberately averted her gaze when he came in.
Carla tore her gaze from the sea.

avoid
She avoided his gaze.

drift, flick, flicker, move, roam (sth), shift, sweep (sth), travel, wander
His gaze flickered over the room.
His gaze flickered for an instant.

follow sth
Her gaze followed Simon's through the archway.

fix on sth, lock (with sth), meet sth
Her gaze fixed on his and held it unblinkingly.
His gaze locked with hers.

hold sth
linger, rest
Rebecca's gaze rested on the child thoughtfully.

fall
Her gaze fell on Kate's tousled hair.

narrow
The dark gaze narrowed.

under sb's gaze
He blushed under her angry gaze.

intently, steadily
He gazed steadily into the distance.

absently, blankly
He gazed absently at the passing crowd.

dreamily, thoughtfully, wistfully
admiringly, adoringly, fondly, longingly, lovingly
She gazed admiringly up at him.

down, out, up
He gazed out over the lake.

at
Every one gazed at her beautiful jewels.

in
They gazed in wonder at the mighty peaks.

into
She gazed steadily into his face.