A word to describe someone who finds pleasure in sad things [closed]

The word that came to my mind was sentimental:

Having or arousing feelings of tenderness, sadness, or nostalgia, typically in an exaggerated and self-indulgent way.
‘a sentimental ballad’
‘I'm a sentimental old fool’
_{Oxford Living Dictionaries}

The classic term might be melancholy, as it is used in this exchange between Amiens, who has been singing a sad song, and Jaques, who has been avidly listening, in As You Like It:

Jaques. More, more; I pr'ythee, more.

Amiens. It will make you melancholy, Jaques.

Jaques. I thank it ; I do love it better than laughing.

...

Amiens. My voice is rugged : I know I cannot please you.

Jaques. I do not desire you to please me; I desire you to sing.—I can suck melancholy out of a song, as a weasel can suck eggs. Come, warble, warble.

As Jaques says elsewhere in the same scene, his is "a melancholy of mine own, compounded of many simples, extracted from many objects; and, indeed, the sundry contemplation of my travels, in which my after rumination wraps me is a most humorous [that is, strongly felt] sadness." That is a pretty good description of the experience of luxuriating in the deep pathos of a heartfelt sadness.

If we are describing the sensation of enjoying something sad, that could be bittersweet:

n. something that is bittersweet; especially : pleasure accompanied by suffering or regret

adj. being at once bitter and sweet; especially : pleasant but including or marked by elements of suffering or regret ⋅ a bittersweet ballad ⋅ bittersweet memories
_{from m-w.com}