Mist
Mist is a client for Ethereum, Whisper, and Swarm. It lets us send transactions, send Whisper messages, inspect blockchains, and so on.
The relation between Mist and geth is similar to the relation between Ethereum Wallet and geth.
The most popular feature of Mist is that it comes with a browser. Currently, the frontend JavaScript running in the browser can access the web3 APIs of the geth node using the web3.js
library (a library that provides Ethereum console's JavaScript APIs for other applications to communicate with geth).
The basic idea of Mist is to build the third generation web (Web 3.0), which would wipe out the need to have servers by using Ethereum, Whisper, and Swarm as replacements for centralized servers.
Here is an image, showing what Mist looks like: