I don't think some of those classifications are well thought out. The most obvious is DS.
Consider the best-selling software for DS. These titles include:
New Super Mario Bros.
Brain Age
Nintendogs
Final Fantasy III remake
Big Brain Academy
Animal Crossing: WW
Mario Kart DS
Super Mario 64
Pokemon Diamond/Pearl
You are saying the main focus is kids? I don't see a focus on one age group; seems like the best-selling games include those that are popular with kids (Pokemon), teens (Final Fantasy III) and adults (Brain Age). That is in addition to the fact that games like NSMB, Animal Crossing and Mario Kart are popular with all age groups.
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