ELI5: Measles - Should I worry about the measles resurgence?

Measles have reappeared in the US because of anti-vaccination movements. Why should I care if I'm vaccinated, aren't I already protected from it?

.. We explain like i'm five!

Thank you to the r/explainlikeimfive community, and specifically the following reddit users whose questions and responses formed the basis of this conversation: delixd, antechronos, shifty_coder, okverymuch, silver_agocchie, robbak & quicksilver-rain

To the ELI5 community that has supported us so far, thanks for all your feedback and comments. Join us on Facebook:

https://www.facebook.com/eli5ThePodcast/ 

or send us an e-mail:

ELI5ThePodcast@gmail.com

... we love hearing from you!