We know that Harry has crushes upon both Ginny and Cho at various points in the books. However, is there any canon evidence of him showing any form of attraction whatsoever to anyone else at any point?
It was extremely crowded, noisy, warm and smoky. A curvy sort of woman with a pretty face was serving a bunch of rowdy warlocks up at the bar. -
Madam Rosmerta, the pretty landlady, didn’t seem to think much of this; she was looking askance at Moody as she collected glasses from tables around them
‘Nothing,’ said Ron, hastily looking away from the bar, but Harry knew he was trying to catch the eye of the curvy and attractive barmaid, Madam Rosmerta, for whom he had long nursed a soft spot.
He also noted that Parvati was not unattractive
The common room looked strange, full of people wearing different colours instead of the usual mass of black. Parvati was waiting for Harry at the foot of the stairs. She looked very pretty indeed, in robes of shocking pink, with her long dark plait braided with gold, and gold bracelets glimmering at her wrists. Harry was relieved to see that she wasn’t giggling.
and nor was her identical twin Padma
‘Hi,’ said Padma, who was looking just as pretty as Parvati in robes of bright turquoise. She didn’t look too enthusiastic about having Ron as a partner, though; her dark eyes lingered on the frayed neck and sleeves of his dress robes as she looked him up and down.
He also managed to finally notice that Hermione was kinda attractive, in the right light, with her hair done up.
The oak front doors opened, and everyone turned to look as the Durmstrang students entered with Professor Karkaroff. Krum was at the front of the party, accompanied by a pretty girl in blue robes Harry didn’t know
Harry was physically/magically attracted towards the Veela.
Veela were women ... the most beautiful women Harry had ever seen ... except that they weren’t – they couldn’t be – human. The Veela had started to dance, and Harry’s mind had gone completely and blissfully blank. All that mattered in the world was that he kept watching the Veela, because if they stopped dancing, terrible things would happen ...
Harry clearly also finds Fleur attractive.
A young woman was standing in the doorway, a woman of such breathtaking beauty that the room seemed to have become strangely airless. She was tall and willowy with long blonde hair and appeared to emanate a faint, silvery glow. To complete this vision of perfection, she was carrying a heavily laden breakfast tray...
And he blushed when kissed by her in The Goblet of Fire (although to be fair it was in public by a girl he hardly knew).
Fleur bent down, kissed Harry twice on each cheek (he felt his face burn and wouldn’t have been surprised if steam was coming out of his ears again),
In the "movies" he finds this waitress attractive:
The 2001 edition of Fantastic Beasts and Where to Find Them included a note from Ron teasing that Harry was in love with Moaning Myrtle. It would be just that, but however we also see that Harry tried crossing it out. According to standard playground rules, crossing out a note only indicates that it's true.
It should be noted that, like all of Harry's and Ron's annotations, this no longer appears in the new 2017 edition of the book.
In Book 7, when Harry is in Luna Lovegood's room and he sees the artwork she made of him and his friends, Rowling writes that he "felt a great rush of affection for Luna" (DH, Chapter 7, p. 417 [American paperback edition]). This is a case of attraction based on emotion rather than physical attractiveness - and it could just be friendly affection, rather than a desire to date Luna, especially since Harry and Ginny are already an established couple at this point in the books.
Still, I think that one moment fits the bill for what this question was asking about. I have often wondered what might have happened between Harry and Luna if this scene had occurred earlier in the books - would it have sparked a romance? Alas, we can only speculate.
Edit to clarify in light of lengthy discussion in comments
This answer is based on two premises:
- The narration is from Harry's point of view. Thus, descriptions of characters are in fact Harry's subjective perception of those characters.
- Harry thinking that a girl is pretty does not in fact mean that he is personally attracted to her. However, per this comment the question is seeking anything from a (as you put it) noticing looks upwards. I was wondering if he'd shown any interest in anyone else really, however fleeting that interest turned out to be.
In addition to the characters mentioned in the other answers, there are a bunch of females whom Harry considers pretty throughout the last three books of the series:
- Roger Davies's girlfriend
Roger Davies, the Ravenclaw Quidditch Captain, was sitting about a foot and a half away with a pretty blonde girl.
- Statue of the witch in the Ministry of Magic
A group of golden statues, larger than life-size, stood in the middle of a circular pool. Tallest of them all was a noble-looking wizard with his wand pointing straight up in the air. Grouped around him were a beautiful witch, a centaur, a goblin, and a house-elf.
- Tom Riddle Sr.'s girlfriend
Both he and the pretty girl riding beside him on a gray horse roared with laughter at the sight of Ogden, who bounced off the horse’s flank and set off again, his frock coat flying, covered from head to foot in dust, running pell-mell up the lane.
- Lilly Potter
She was pointing at the war memorial. As they had passed it, it had transformed. Instead of an obelisk covered in names, there was a statue of three people: a man with untidy hair and glasses, a woman with long hair and a kind, pretty face, and a baby boy sitting in his mother’s arms.
- French wedding guests
“Not so fast, Your Holeyness,” said Fred, and darting past the gaggle of middle-aged witches heading the procession, he said, “Here — permettez-moi to assister vous,” to a pair of pretty French girls, who giggled and allowed him to escort them inside.
- Mrs. Delacour
The first sound of their approach was an unusually high-pitched laugh, which turned out to be coming from Mr. Weasley, who appeared at the gate moments later, laden with luggage and leading a beautiful blonde woman in long, leaf-green robes, who could only be Fleur’s mother.
- Horcrux version of Hermione
“Presumption!” echoed the Riddle-Hermione, who was more beautiful and yet more terrible than the real Hermione: She swayed, cackling, before Ron, who looked horrified yet transfixed, the sword hanging pointlessly at his side.
- Rowena Ravenclaw
Harry recognized Rowena Ravenclaw from the bust he had seen at Luna’s house. The statue stood beside a door that led, he guessed, to dormitories above. He strode right up to the marble woman, and she seemed to look back at him with a quizzical half smile on her face, beautiful yet slightly intimidating.
- Helena Ravenclaw
She consented to pause, floating a few inches from the ground. Harry supposed that she was beautiful, with her waist-length hair and floor-length cloak, but she also looked haughty and proud.