This app was mentioned in 3 comments, with an average of 1.33 upvotes
Player fm for Android ( https://play.google.com/store/apps/developer?id=Player+FM+Podcasts&hl=en ) works reasonably well (you can download stuff like Radio Ambulante, probably other podcasts as well). Not sure if they have iPhone version.
UPD: yep, they have iOS version as well: http://iphone.player.fm/
There is also "News in slow Spanish" --- not free, but very worth it at some point, until it becomes too slow for you: https://play.google.com/store/apps/details?id=com.linguistica360.newsinslowspanish&hl=en_US
Here 1- https://play.google.com/store/apps/details?id=com.linguistica360.newsinslowspanish 2- https://play.google.com/store/apps/details?id=com.linguistica360.newsinslowspanishlatino 3- https://play.google.com/store/apps/details?id=com.thisisaim.yourlanguage 4- https://play.google.com/store/apps/details?id=com.rtve.radio
If 1 and 2 are too easy then 3 and 4 should suffice.