Example : They have the illusion that I am very wealthy.

Synonyms : fantasy, illusion, phantasy

Example : Never had the wildest flights of fancy imagined such magnificence.

Example : He had a fondness for whiskey.
She had dismissed him quite brutally, relegating him to the status of a passing fancy, or less.

Synonyms : fondness, partiality

Example : I can't see him on horseback!.
I can see what will happen.
I can see a risk in this strategy.

Synonyms : envision, figure, image, picture, project, see, visualise, visualize

Example : She fancied a necklace that she had seen in the jeweler's window.

Synonyms : go for, take to

Example : Fancy handwriting.
Fancy clothes.