Just a few more facts on time signatures:

In ska, reggae, and a few other genres, the 2nd and 4th beats (up beats) of the 4/4 signature are accented.

In Scandinavian waltzes, the 2nd beat is accented. Think of standard waltz ad OOM pah pah. Scandinavian waltzes go oom PAH oom. :)

Think of 6/8 and 9/8 time signatures as triplet versions of 2/4 and 3/4. 6/8 has two pulses per measure, and 9/8 has three. The difference between 2/4, 3/4 and 6/8, 9/8 is that in 6/8 and 9/8, each pulse contains three notes.

In rock, a 6/8 beat may be used to sound fast paced because 16th notes in 4/4 are too fast, 8th notes are too slow, but the triplet (12th) note is perfect (that's my theory, anyway).

Various non-conventional time signatures can lead to confusing (at times) but interesting rhythmic feels. I wrote a song in 10/8 once, where parts of it sounded like 5/4, but other parts of the exact same piece sounded like 4/4 but repeated 5 times instead of 4 (as in standard 4/4 music) . Sometimes, time signatures are alternated every other measure.
Gustav Holst's Song Of the Blacksmith alternates between 3/4 and 4/4.
Toadies by Possum Kingdom uses an unusual time signature which is mainly 4/4 but counts like this, "1 2 3 4 1 2 3 4 1 2 3 4 1 2 1 2 3 4 1 2 3 4 1 2 3 4" (repeats).

Sometimes unusual time signatures are good because just as you are listening, your brain naturally starts counting 1 2 3 4 1 2 3 4 and if all of a sudden you're thrown off, and the music becomes instantly more interesting.