bit.ly is described as 'Shorten URLs from anywhere with bit.ly. Bit.ly allows users to shorten, share, and track links (URLs). Reducing the URL length makes sharing easier. Bit.ly is available as a website, as a bookmarklet, and as a robust and open API' and is a very popular URL Shortener in the web browsers category. There are more than 100 alternatives to bit.ly for a variety of platforms, including Web-based, SaaS, Self-Hosted, Android and iPhone apps. The best bit.ly alternative is Kutt, which is both free and Open Source. Other great apps like bit.ly are Polr, Dub.co, Fli.so and YOURLS.
Does everything. Edit and delete short links, with or without login.