No commercial game supports direct local wireless multiplayer between a DS Lite and a DSi. Despite both using the same DS Wireless Communications (802.11b) protocol, games check hardware ID at lobby creation and treat them as incompatible.
Some games (e.g., New Super Mario Bros., Mario Kart DS single-card download play) allow 2 players on one DS/DSi—but not across two systems of different models.
*Nintendo WFC shut down 2014; Wiimmfi replaces it.