There's also this Metroid Other M Retrospective Trailer that's not as spoilerish.
 

download the original on VC thats still my favorite

Metroid is awesommmmmmmme. Other M sounds quite different to Trilogy, so I'm not sure if playing that will do you any favours.

Yeah, I just played the first few hours of Other M. The controls, story, and pretty much everything have nothing to do with Prime. So you don't need to play it first. Though you should play Prime at some point. It's a hell of an experience.

Prime and Other M may as well be from different planets.  Totally different, and unrelated in most respects (both gameplay and story).  I personally believe the Primes to be FAR superior, but that depends on your gaming tastes (linearity vs exploration, cinematics vs non-exposition, slow and methodical vs fast and arcadey).   

Other M has been my least favorite METROID.  I don't say this lightly being a Metroid fanatic.  But I do say it with experience, as I have just completed it with 100%.  It feels more like an Xbox game than a Nintendo game, if that makes sense.  Not that I'm bad-mouthing anything, but the feel of the game is very different from the others in the series (other than Fusion).  It actually feels very much like a console version of Fusion.  The deep mood, music score, and isolation have been replaced with dialogue, cutscenes, and less-realized art direction).  For my money, Super Metroid is the best way to spend your dollars if you're looking for 2-D style of Metroid.