Weird, odd or different; whimsical.
Slightly unwell (mainly in "to feel queer").
Drunk.
(sometimes derogatory) Homosexual.
(sometimes derogatory) Not heterosexual, or not cisgender: homosexual, bisexual, asexual, transgender, etc.
(broadly) Pertaining to sexual or gender behaviour or identity which does not conform to conventional heterosexual or cisgender norms, assumptions etc.
the queer community