No
As of today, it is not possible. Not even for the DSi. Sure you can use DS Download play using a certain Wii channel to play trials of new games, but you cannot play Wii games on any current version of the DS. There are some titles that are in both the Wii's and DS' library, but that is completely irrevelant.
Yes, you can play DS lite games on the DSi as well as the DSi XL
No, the DSi is only compatible with DSiWare.
No, you only need the connection to actually do the download. Once downloaded, the games can be played while offline.
you can play some games but if you can play it on the wii you can probaly play it on the dsi
No, WiiWare games are only playable on the Wii (and Wii U) so the DSi cannot play it.
No, you can't.
No
No. Miis are only for wii games like wii sports and wii play.
yes
If you Mean Parental Contols like the wii. Then yes, the dsi has them. The Dsi is also region locked, so you can't play DSi games from Japan on an American Dsi.
if i understand correctly look into homebrew
no you can't play dsi games in ds but you can play ds games in dsi.
As of today, it is not possible. Not even for the DSi. Sure you can use DS Download play using a certain Wii channel to play trials of new games, but you cannot play Wii games on any current version of the DS. There are some titles that are in both the Wii's and DS' library, but that is completely irrevelant.
The DSi can play DS and DSi games, as well as DSi ware games. It cannot play GameBoy games or 3DS games.
That depends how your lifestyle is, but you should definitely get either a Wii or a DSi. A kindle would not be exciting. If you travel a lot or tend to be away from the house, a DSi is the way to go. If you stay at home most of the time or prefer to play games on the big screen, go for the Wii.