Had to learn about the Hero's Journey in English class when we were reading the Epic of Gilgamesh. I probably wouldn't have been able to appreciate Gilgamesh if I didn't have that to consider as I was reading.
I really can't see it with Mass Effect except for a few parts. A number of the points that I can see connecting to the Hero's Journey wouldn't fall into place especially if ME is Part 1, ME2 is Part 2, and ME3 is Part 3. The Call is present at the very beginning, but The Refusal of the Call isn't. The Mentor isn't a plot point that shows up. If anything, Anderson leaving the Normandy is the opposite of The Mentor. The Crossing of the First Threshold could be interpreted as leaving to go on your first mission as a Spectre, but a more accurate adherence to it would be Eden Prime, which would fuck up the order of the Hero's Journey. The Belly of the Whale could be Virmire, I suppose.
The Road of Trials is one of the ones that really makes me disbelieve that Mass Effect adheres to the Hero's Journey, because it roughly would take place in the middle of all three Mass Effect games, so you'd be inserting it into each of the three major parts of the Hero's Journey. It's also supposed to take place at the beginning of Part 2. The Meeting with the Goddess could be meeting Liara in Mass Effect 2 since she's a creepy stalker who went to inordinate lengths to get your body back instead of fucking dealing with it very protective of Shepard, but that's only if you interpret it very loosely. Woman as the Temptress could be, amusingly, your relationship with the Illusive Man. Atonement with the Father doesn't exist in Mass Effect 2 unless you count the optional reacquiring of your Spectre status. Apotheosis and the Boon I can't see in Mass Effect 2 at all.
Mass Effect 3 has no Refusal of the Return. Gathering information about the Crucible might be the Flight, but I don't really remember all that much of that part. The Rescue, Return, Mastery, and Freedom are all absent.
This is, of course, all assuming that the individual games are the dividing line between the overarching parts instead of looking at the whole series and drawing the lines where it might make sense. It fits more closely like that, but there are still so many things missing or out of place that I can't say I think Mass Effect adheres to the Hero's Journey.
tl;dr This is what it feels like to have no life.