Databases that include Latin American newspapers are listed below.
NPR has a free news broadcast in Spanish, Radio Ambulants : https://www.npr.org/podcasts/510315/radio-ambulante?t=1558519800917.
El Mundo also has podcasts, https://www.elmundo.es/podcasts.html.
Nómadas is a travel show Radio Nacional de España — Spain’s public radio station that takes you to a different corner of the world every week and brings you voices, sounds and stories from that destination, https://www.rtve.es/play/audios/nomadas/.
If you’re just getting started, News in Slow Spanish, is a good option. It has two versions: one using Spanish as it’s spoken in Spain and the other focusing on Latin American Spanish. The aptly-named podcast features discussions of current news stories in Spanish, but spoken slowly and clearly so it’s easy for non-native speakers to understand. https://www.newsinslowspanish.com/latino
El Washington Post is WP’s Spanish language podcast. https://www.washingtonpost.com/podcasts/el-post/.
El Hilo is a weekly news show in Spanish that aims to go in-depth on a single story in each episode. A co-production of Radio Ambulante Estudios and Vice News, the show tells stories from all over Latin America and the U.S., https://elhilo.audio/.
Radio Bilingüe’s Edición Semanaria is a fourteen-minute news capsule in Spanish covering top stories in the U.S. and Latin America. http://radiobilingue.org/en/rb-programas/edicion-semanaria/
El Vocero has audio/video news from Puerto Rico, https://www.elvocero.com/videos/