It's a good run-through. The first part (with the Wasteland predecessor etc.) and the last one (with the console game Fallout: Brotherhood of Steel) are somewhat irrelevant though, so just make sure you pay attention during the events of Fallout 1, 2 and Tactics. Afaik those are the only real "canon" games.
One thing the vid doesn't really mention on Fallout 1 I do want to add though: after getting the water chip for your vault and essentially saving mankind by destroying the Master, the Overseer (vault boss) expels you from the Vault because he feels you've become 'tainted' from living outside of the Vault for so long. It's a bittersweet ending. The home you fought for eventually spits you out...and that is how the protagonist in Fallout 2 is born: he/she is a descendant of the original Vault Dweller who settled down with other survivors in the Northern Wastelands, after being refused a return to his home Vault 13.
It's briefly mentioned in the intro of Fallout 2 (after the first few 'instructional' videos). Ron Pearlman's narration is TIGHT yo. Fallout 2 intro starts at 1.45 or so...before that it's still Fallout 1 intro
http://nl.youtube.com/watch?v=AihKA_AgM ... re=related
Anyway, just pick it up during the gaming off-season sometime. It's still very much enjoyable and playable, especially fallout 2 (fallout 1 is HARD sometimes). And many adult references. None of that "please the masses" shit of modern games.