The difference between cringe and creepy

is that "cringe" is a posture or gesture of shrinking or recoiling and "creepy" is moving by creeping along.

cringe

(intransitive) To shrink, cower, tense or recoil, as in fear, disgust or embarrassment.
(dated, intransitive) To bow or crouch in servility.
(transitive, obsolete) To contract; to draw together; to cause to shrink or wrinkle; to distort.

He cringed as the bird collided with the window.
He looked like a man who had never cringed and never had had a creditor.
When they were come up to the place where the lions were, the boys that went before were glad to cringe behind, for they were afraid of the lions.
But he made no whimper. Nor did he wince or cringe to the blows. He bored straight in, striving, without avoiding a blow, to beat and meet the blow with his teeth.
Sly hypocrite, […] who more than thou / Once fawned and cringed, and servilely adored / Heaven’s awful monarch?
He heard the hateful clank of their chains; he felt them cringe and grovel, and there rose within him a protest and a prophecy.
Leclere was bent on the coming of the day when Batard should wilt in spirit and cringe and whimper at his feet.
Till like a boy you see him cringe his face, / And whine aloud for mercy.

Moving by creeping along.
(informal) Producing an uneasy fearful sensation, as of things crawling over one’s skin.
(informal) Feeling an uneasy fearful sensation; creeped out.
(informal) Strangely repulsive.

The Beaver brought paper, portfolio, pens, / And ink in unfailing supplies: / While strange creepy creatures came out of their dens, / And watched them with wondering eyes.
“I felt creepy and afraid," continued the other, with conviction. “I had the sensation of being seen by someone—as if someone, I mean, was watching me. […]
That creepy old man keeps leering at me!