I don't know any of the typewriters; those predate me.
The computers, however, are (in order of appearance):
Macintosh (the original, later known as 128k to distinguish it from the 512k "Fat Mac")
The one that started it all, of course. Kinda-sorta-maybe portable.
PowerBook 165c
This was the first Apple notebook with a color display, and the first notebook from any vendor to have a 256-color display.
On the 1080 HD version of the video, and getting really close to the screen, you actually read the badge on this one as confirmation of the identity.
Aluminum PowerBook G4 (15") (Late 2003 or newer, but it could be any year/speed after that; you can't tell from the video because the cases were identical)
This was the first notebook to come in an aluminum enclosure, and it really set the standard for all Apple "pro" notebooks that have followed it. The case design has been tweaked, but not yet significantly revamped.
The badge on this one is pretty clear even at lower resolutions. It's just above the keyboard. If it were a MacBook Pro (the first Intel-based Apple notebooks; early versions used a case nearly identical to the PB G4), it would have said "MacBook Pro" under the screen.
Some kind of weird, unrecognizable unit without function keys.
It is a bit odd they didn't include the Macintosh Portable, which was the first real portable Macintosh, or the PowerBook 100, which was (I believe) the first sub-notebook (a form factor that would later reappear with the PowerBook Duo series). The PowerBook 100 was also the first notebook to include a built-in trackball pointing device, in a location that would become the industry standard (centered at the front of the unit, underneath the keyboard).
I would have also felt compelled to include one of the PowerBook G3 models (post-Kanga: either Wallstreet, Mainstreet, Lombard, or Pismo), which was the first notebook that I ever thought was "sexy". It also introduced the glowing Apple logo on the lid that is so iconic today (although in the early designs, it was upside down when the lid was open and the computer was in use!).