The OpenWrt/LEDE distributions provide several thousand packages to extend the functionality of your device.
The browseable package lists in this wiki will always show packages available in the latest update of the stable release.
After you have flashed the OpenWrt/LEDE firmware to your device, you can install additional software packages with the 'opkg' package manager, using either SSH or LuCi:
A quick overview to all available packages, sorted by type, can be seen in the Package Index.
A more comprehensive verbose package table can be found at Package Table.
Packages sorted by instructionset are also available, plus a link table showing which instructionset your device has. Pay attention to the “Package download” column, which is clickable, for more details of a certain processor family.
Information that is no longer relevant to the current stable or snapshot version of OpenWrt. Package indexes and tables in this section are not updated anymore (as the packages in legacy releases won't change).
Third party packages are untested and unsupported by OpenWrt, and no warranties are made about their safety or usefulness. They could very well contain backdoors and such. So install only packages from sources, you trust! Please get support for third-party packages from the maintainers of those packages, not the OpenWrt developers.
Common sources for such packages include: