Monotype.com, Typography.com, Typenetwork.com are some popular names who owns and crafted hundreds of Typefaces (incldues other type foundries).
But there are more gems hidden in this world.
I love Typefaces and have tested thousands or at least hundreds of typefaces from different foundries. You can always start with Google Fonts which is completely free and easy to use. or Give a try to fontspring, dafont(read license) , 1001fonts, fontspace, fontzone (Read License before using).
For Content-focused websites, I mainly use some common font which works great for my eye when I read long articles.
But for different niche, design, and conditions, I prefer to use different typefaces.
Here are some of my favorite Type Foundries I use to find a typeface.
Amazing fonts at affordable Price. I have purchased multiple licenses of all the fonts to use with different sites.
Hanken Design offers an amazing discount on Desktop license and is an affordable option to use their web typefaces.
Colophon typefaces are beautiful and have a great collection of Typefaces. Aperçu is the most popular typeface from Colophon foundry.
Calibre is a top-rated typeface from Klim Type. Klim Type is a very good option for Writers, Typographers, News portal. It offers multiple combos of a single typeface and easy to combine with other typefaces.
Vllg (Village) is a combo of 11 foundries. It has some great collection of classic and vintage looking typefaces with a modern feel. Galaxie Copernicus is a popular option.
These foundries are great options for Small to Large Businesses. Little Expensive for Web fonts (excl. Atipo) but worth. Purchase the body font (300 or 400) and bold one (700) to save some bucks. However, sometimes You might need more font weights.
Some Foundries worth mentioning are: Hvdfonts, Daltonmaag (Expensive), kontour, paratype.com, processtypefoundry, fontfabric.com, zetafonts, suitcasetype, sudtipos, losttype, rosettatype.com, commercialtype.com, boldmonday.com.
To get an Affordable option, You can go with Adobe Fonts. You will need to purchase an Adobe Creative Cloud Product. If You use Photoshop Purchase Photography Plan or Purchase InCopy license to get free Adobe Fonts.
Here are Subscription Based Foundries.
Sites that offer Self Hosted and No Tracking Fonts.
Myfonts or fonts.com is not recommended. Share Love for Your Favorite Type Foundry in the Comment Box.