I need to return my broken phone today, but since I got the Tudia case in I took some side by side pictures of the Incipio feather and Tudia Ultra Slim TPU cases. The second pic is a shot taken across the screen of the G2 with the Incipio on it, and the Tudia encased G2 is sitting right behind it so you can see the difference in height... that black line is it.
Initial thoughts: Tudia is MARGINALLY bigger, almost imperceptible, but it has a full coverage around the edges (what got me with the feather) and a small lip sticking past the screen that would protect it from a faceplant drop onto a mostly smooth surface. However, the Incipio has just the right amount "stick" so it doesn't slide out of your hand, whereas the Tudia back is very slick, so I have to hold it with my pinky under the bottom to keep it from sliding out of my hand when I'm holding it with one hand. There might be another Tudia ultra slim that doesn't have this slick back, but I didn't get that.
Here is the Tudia I ordered -
Amazon.com: TUDIA Ultra Slim Melody Series TPU Protective Case for LG G2 (for Verizon ONLY) - Black: Cell Phones & Accessories