I tend to like the 6/8 timing more so than the 3/4 timing. The way I figure it out is that the 6/8 timing has a longer swing than the 3/4 timing.
"Create In Me", by Donnie McClurkin and "Give Me A Clean Heart", are in the 6/8 timing. I heard someone mention the 9/8 and the 12/8 timing. I have never played anything in a 12/8 timing, but Kirk Frankin's, "Caught Up" is in a 9/8 timing, as well as "Your Grace and Mercy", by Frank Williams (Mississippi Mass Choir).
When you have a drummer that plays in a 6/8 timing, his/her snare drum will, for the most part, fall on the 4th beat. If he/she plays in a 3/4 timing, then the snare will fall on the 2nd and 3rd beat, or just the 3rd beat. In a 9/8 timing the snare will probably fall on the 7th beat.
6/8 and 3/4 are very similar as someone stated. Which is why you can have a drummer play a 6/8 timing beat, with a 3/4 song. For example, "I Call You Faithful", by Donnie McClurkin. The song is written in 3/4, but the drummer plays a 6/8 timing.
One more little trick that I found to work frequently, is that if you count the beats, while the person is singing or song is being played, your beats should be consistant.
Hope this helps,
God Bless.