Todays problems about fonts are more a license problem using a font for web and getting a font that has more then the typical 4 styles normal, bold, italic, and bold italic to fit the needs of print too. Besides that you have often to check if the font supports special charackters too. I collected this list of ncie fonts that should care about all requirements of web and print usage.
Neuton * Josefin Slab * Roboto Slab * Midiet * Merriweather * Alegreya * Overlock * Averia Serif
Sans Serif fonts
OpenSuse font "Fifth Leg" * Terminal Dosis * Titillium Text * Ubuntu Font * Sansation * Raleway * Panefresco * Source Sans * Open Sans and Open Sans Condensed * M+ 1C * Exo * Eau Sans * Amble * Lato * Colaborate * Diavlo * Comfortaa * Android Font Roboto and Roboto Condensed * DejaVu Sans and DejaVu Sans Condensed
You can explore a lot more free fonts at Google Fonts, Open Font Library and at Font Squirrel.