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We released DemoKit last week to do precisely this (be able to script demos and record them, that way you can easily re-record them if your product changes, or if there's a typo, etc): http://blog.runkit.com/2016/10/18/introducing-demokit.html

I am using licecap to create the animated gifs - http://www.cockos.com/licecap/

No idea how they've done this one, but https://asciinema.org/ does this for command line demos at least really nicely and easily.

Sceen2gif is the best tool I've used for gifts screencasts, hands down. Wish there was a Linux version.

http://screentogif.codeplex.com

The command line in the demo is Hyper (made by the same people as Next):

https://hyper.is/

Stylizing is done on the terminal itself, and then anything (like Quicktime) could do a recording.

The best I've used so far is Kap: https://getkap.co/ (Open source; currently only available for macOS)

You could use a white desktop background and GifCam[1] / WebMCam[2].

[1] http://blog.bahraniapps.com/gifcam/

[2] https://github.com/thetarkus/WebMCam

byzanz

https://github.com/GNOME/byzanz