That page could have (much) better UX - n.b. that it defaults to showing you only Linux clients; you have to click around to filter by other platforms. It also is outdated and misses many of the newer exciting clients such as http://dittochat.org/ or https://github.com/kiliankoe/nio. A more comprehensive view can be found at https://matrix.org/docs/projects/try-matrix-now/. Updating all this is on the todo list, but writing software >> writing website atm.