It is pleasant to look at.
So pleasant that you do not want to let it wander out of your sight.
What would be a word for pleasant to look at?
Something that's pleasant to my eyes... as said by @Mysti Sinha - eyesome.
English Language & Usage Stack Exchange is a question and answer site for linguists, etymologists, and serious English language enthusiasts. It only takes a minute to sign up.Sign up to join this community
You could call it captivating. Merriam-Webster defines captivate as "to attract and hold the attention of (someone) by being interesting, pretty, etc."
If you need a word, this adjective is archaic and it is:
eyesome - (archaic, often poetic) visually attractive. (MW)
There are also less-archaic terms:
sightly - Pleasing to see; visually appealing. (TFD)
eye candy - A person who is or people considered highly attractive to look at. (TFD)
It is pleasant to look at. (sightly)
He is pleasant to look at. (eye candy)
"Handsome" has exactly the meaning you require:
having an attractive, well-proportioned, and imposing appearance suggestive of health and strength; good-looking: "a handsome man; a handsome woman."
having pleasing proportions, relationships, or arrangements, as of shapes, forms, or colors; attractive:
... but seems to be quite an old-fashioned word these days. It might be useful to you depending on the context.
While not strictly limited to physical appearance, consider winsome
Attractive or appealing in appearance or character: a winsome smile
Oxford Dictionaries Online
: to hold the attention of (someone) entirely : to interest or amaze (someone) so much that nothing else is seen or noticed
1 : to subject to mesmerism; also : hypnotize
2 : spellbind
[ Merriam-Webster online ]
Therefore, mesmerizing, spellbinding, and maybe, at the risk of falling asleep, hypnotic; more so about the impact of what is "delightful for beauty, harmony, or grace" upon the eye of the beholder so to speak.
The phrase "aesthetically pleasing", though not a single word, denotes an object that is pleasant to look at in a generic visual sense without all the connotations of physical attractiveness, comeliness, etc. that some of the other suggestions carry.
That said, I do think there is a slight connotation of "artistic beauty" in the phrase.
Wholesome, Lush, perhaps salubrious? Though the last is used mainly for a product, it could be said being with someone is healthful or health-giving whether it is for companionship or just eye-candy on the arm, thus the connection would be salubrious. And modern lingo may lead to such quaint items as bitchin' or (as a feminine descriptor) leslie.