I identified some more of my gemstones. I found some pictures to compare them to and some of them I need someone else's opinion.
Here's the pictures:

This is a Lithium Quartz. It looks like the first purple one in the second row, because part of it's a dark purple and part of it's a lighter shade of purple. It's still possible that it could be Amethyst I suppose.

This is Leopard Skin Jasper. That would be the last three on the right under the light blue/white one that's on the third row.

This is African Jade. They look a lot like the green one on the third row.

This is Rainbow Jasper. I'm thinking that the two orangeish spotted ones on the fourth row are these.

These are blue quartz. The third one in the third row looks kinda like the one in the bottom of the picture.

This one is Angelite. The color and description matches the last one in the third row (Pale blue and white). I'm not sure if it's the same stone though.
Opinions would be appreciated!
Edit: The pale blue and white one that I thought might be Angelite... I just found a picture that looks EXACTLY like it. It's Blue Lace Agate... which is what I thought it was in the first place... Here's the pic:

Another edit: Found yet another picture that resembled one of my stones... Second one, last row. It's a moonstone, here's the pic: