First thing first, determine what is the message or purpose of your project? How do you want your audience to feel? Is it a bold, elegant, traditional, or retro? Every typeface has it owns vibe and plays an important role in communicating with your audience. When the type selection works, it is effective and reinforces the overall message of the design. And when it doesn't there will be a visual disconnect.
Here are 8 different categories that will be helpful to understand when you’re going about choosing a typeface.
Serif: Bodoni, Caslon, Charter, Didot, Freight Big Pro (displayed), Georgia, Playfair
Script: Bickham, Easy Street EPS (displayed), Edwardian Script, Great Vibes, Sacramento
San Serif: Arial, Brandon Grotesque, Futura, Gotham (displayed), Helvetica, Montserrat, Open Sans
Slab Serif: Archer, Clarendon, Rockwell, Merriweather, Museo Slab, Sanchez (displayed)
Rounded: Bryant, Cooper, Gotham Rounded (displayed), Proxima Nova Soft
Condensed: Bebas, League Gothic, Oswald, Trade Gothic Condensed (displayed), Roboto Condensed
Handwritten: Blackjack, Freeland, Handelson, Pacifico, Quickbrush (displayed)
Monospaced: Bergen Mono, Consolas, Courier, Letter Gothic, Roboto (displayed), Inconsolata