This page demonstrates Serif fonts with at least 8 styles available on Google Fonts. If you need a lot of formatting options (beyond merely Bold, Italic, and Bold Italic), this should help you pick out a font sufficient for your purposes.

For fonts with fewer than eight styles, check here.

Barely Seriffed

A full bed kept jamming by whichever zoo quips exit. (Trirong)

Lightweight

A full bed kept jamming by whichever zoo quips exit. (Cormorant)

A full bed kept jamming by whichever zoo quips exit. (Cormorant Garamond)

A full bed kept jamming by whichever zoo quips exit. (Cormorant Infant)

A full bed kept jamming by whichever zoo quips exit. (Josefin Slab)

Squashed

A full bed kept jamming by whichever zoo quips exit. (Rokkitt)

A full bed kept jamming by whichever zoo quips exit. (Faustina)

Set A

A full bed kept jamming by whichever zoo quips exit. (EB Garamond)

A full bed kept jamming by whichever zoo quips exit. (Alegreya)

A full bed kept jamming by whichever zoo quips exit. (Zilla Slab)

A full bed kept jamming by whichever zoo quips exit. (Manuale)

A full bed kept jamming by whichever zoo quips exit. (Vollkorn)

A full bed kept jamming by whichever zoo quips exit. (Spectral)

A full bed kept jamming by whichever zoo quips exit. (Taviraj)

A full bed kept jamming by whichever zoo quips exit. (IBM Plex Serif)

A full bed kept jamming by whichever zoo quips exit. (Merriweather)