I'll start with some notable Dodger inserts. Here are the 2010 This Day in History insert cards. They feature a players birth date and a historical event that occurred on that day. Only 3 Dodgers are in this subset.
Andre Ethier, #TDH12
Manny Ramirez, #TDH15
On Manny's birthday, May 30th, New York recorded its very first car accident. Is this a bit of unwanted commentary on the part of Topps?
For the game-used relics Topps Allen & Ginter places the mini cards in a red bordered plastic frame. I guess they don't want you to damage the card. Only two Dodgers are featured- Matt Kemp and Andre Ethier.
Matt Kemp, #AGR-MK
Andre Ethier, #AGR-AE
They also frame inserted autographs. Below is the Clayton Kershaw, but the Matt Kemp and Andre Ethier cannot be found in packs. They only provide a redemption card, so no picture is available at this time.
Clayton Kershaw, #AGA-CK