Here, I took the liberty to write out 8 actual reasons why Zelda is still relevant today (aren't I a nice guy?).
1. The Legend of Zelda: A Link Between Worlds has an aggregate metacritic score of 91, and is being called one of the best games ever released on the 3DS to date.
2. Fan Projects like these
3. Past Zelda games are still being meaningfully discussed today (for example, discussions are still ongoing about the weird shit that occured in Majora's Mask).
4. On the subject of Majora's Mask, there's a large amount of fan demand for a Majora's Mask 3DS remake.
(okay, okay, I'll stop talking about Majora's Mask).
5. Borrowing from a point above, game series such as Darksiders borrow gameplay & dungeon elements from Zelda
6. The Internet lost its collective shit over the Hyrule Warriors Announcement
7. The fact that Hyrule Warriors is going to exist
8. The Master Sword is still one of the most iconic and recognizable symbols of gaming ever created. You'd be hard pressed to find a gamer who wouldn't recognize it at first glance.
There are some better points to be made, but I'll let others make them. The Legend of Zelda has left its mark on gaming, and continues to be a constant source of inspiration by gamers and game developers alike. To ignore those is just... ignorant.