While 100% jQuery coverage is not a design goal, the APIs provided match their jQuery counterparts. The goal is to have a ~5-10k modular library that downloads and executes fast, with a familiar and versatile API, so you can concentrate on getting stuff done.

Bootstrap is the most popular HTML, CSS, and JS framework for developing responsive, mobile first projects on the web.

AngularJS lets you write client-side web applications as if you had a smarter browser. It lets you use good old HTML (or HAML, Jade and friends!) as your template language and lets you extend HTML’s syntax to express your application’s components clearly and succinctly. It automatically synchronizes data from your UI (view) with your JavaScript objects (model) through 2-way data binding.

Whether you're building highly interactive web applications or you just need to add a date picker to a form control, jQuery UI is the perfect choice.

Framework7 - is a free and open source mobile HTML framework to develop hybrid mobile apps or web apps with iOS native look and feel. All you need to make it work is a simple HTML layout and attached framework's CSS and JS files! Framework7 doesn't force you to write some custom tags that will be converted by JavaScript to something else.