In the film, Interview with the Vampire (1994), it appears that both vampires and humans can see a vampire's reflection.
The screenplay clearly indicates that Louis and Claudia could see their own reflections in the mirror, and that Claudia could see Lestat's reflection in the mirror.
Louis wanders into the parlor, where Lestat is playing the harpsichord rapidly and exuberantly. Louis goes to a full-length mirror and sees his own reflection there - quite the perfect vampire.
Interview with the Vampire (1994) - screenplay
By a large gilt mirror, in her new clothes. She is covered with jewelry, fixing earrings to her ears.
[...]
CLAUDIA: Why do you turn away? Why don't you look.
She twirls, looking at herself in the mirror, then stops, stares at herself.
Interview with the Vampire (1994) - screenplay
Claudia stands up quickly, and strides out into the parlour where Louis is reading by the window. She walks to a mirrored cabinet, takes out a scissors and begins cutting her hair.
[...]
She continues cutting. She sees Lestat emerge from her bedroom in the mirror behind her then turns to him, an angelic little boy's face now with soft curls around her face.
Interview with the Vampire (1994) - screenplay
Within the film itself, I don't see any scenes where Claudia or any other vampire sits or stands in front of a mirror without their reflection being clearly visible. In fact, we see vampires clearly reflected in mirrors in at least half a dozen scenes throughout the runtime.

One of the most notable examples is the scene where Claudia cuts her hair. She's pretty clearly looking at her reflection in the mirror as she does this, and then -- after running into her bedroom -- it's the sight of her reflection in another mirror which lets her know that her hair has already grown back.
There's also a scene -- around 71 minutes into the runtime -- where Claudia is in what appears to be a boutique, with four (presumably) human attendants. We can see her reflection in the mirror, she seems to be looking at it herself, and it's likely that the people around her could see it, as they appear to be treating her like she's a normal (albeit, wealthy) girl, rather than a vampire.

Furthermore, Louis explains that Dracula is the vulgar fiction of a "demented Irishman" (i.e. Bram Stoker) in this universe, and that the conventional vampire weaknesses to garlic, crucifixes, and stakes through the heart don't apply here either. So this film pretty clearly plays by its own set of rules, rather than adhering to all the familiar vampire tropes seen in other movies.
DANIEL: What about crucifixes?
LOUIS: Crucifixes?
DANIEL: Can you look at them?
LOUIS: Actually, I'm quite fond of looking at crucifixes.
DANIEL: And the stake through the heart?
LOUIS: Nonsense.
DANIEL: And coffins?
LOUIS: Coffins. Coffins, unfortunately, are a necessity.
Interview with the Vampire (1994) - transcript
LOUIS: We searched village after village... ruin after ruin... country after country. And always we found nothing. I began to believe we were the only ones. There was a strange comfort in that thought. For what could the damned really have to say to the damned?
DANIEL: You found nothing?
LOUIS: Peasant rumors... superstitions about garlic... crosses... the old stake in the heart. But one of our kind? Not a whisper.
DANIEL: There are no vampires in Transylvania? No Count Dracula?
LOUIS: Fictions, my friend. The vulgar fictions of a demented Irishman.
Interview with the Vampire (1994) - transcript