My husband and I are big gamers. He bought this for me as a gift soon after we got married. It was an upgrade from my old Gameboy Advance, which was a pain because the screen doesn't have a backlight! I love my DS Lite and still play with it, and am in no rush to get the 3DS or anything. I have about 10 games that I cycle through, and if I ever want more, I can order them used through eBay for cheap! I also love the touch screen, and the battery life is pretty long.
I have the one that is red on front and black on the inside. However, I got a nice sticker cover for my DS through eBay for just $7 (seen in the picture). Great for making it unique plus protect it from scratches. I love how you can easily customize it. Plus, the upside to having an old device is that everything from games to accessories are so cheap if you happen to need replacement parts. However, everything still works just fine.
And now that my daughter is almost 5, I started letting her play with my DS a little. There are several games she can get the hang of. Ones she likes are Mario Kart and Peggle. She also likes the Sims games but has a hard time navigating them. The DS Lite is that easy that even a four year old can use it!