Here are a few ME characters I'll probably add to my ranking if it's all right. Not sure what the protocol is on this, and I'm happy not to include them if they don't meet list standards:
Alud Ochren (ME1)
Avina
Barla Von
Calyn
Chellick
Chorban
Jenna
Kate Bowman
Lizbeth Baynham
Nassana Dantius
Preaching Hanar
Rita
Septimus Oraka
Shiala
Anto Korragan (ME2)
Brynn Cole
Glyph
Harrot
Keiji Okuda
Oriana Lawson
Vendetta (ME3)
Alec Ryder (Andromeda)
Avela Kjar
Gil Brodie
Jarun Tann
Keri T'Vessa
Lexi T'Perro
Moshae Sjefa
Nakmor Kesh
Reyes Vidal
SAM
Suvi Anwar
I've also got a question as to whether Randall Ezno from Mass Effect: Infiltrator can be included on this list.
I'm a pretty big ME homer, but I'll confess that I'm not super-huge on Andromeda. Still, there are a few major characters I would add from that game (a chunk of these are NPC crew members for most of the game, for example. Also a couple very important NPCs, imo).
"It is too easy being monsters. Let us try to be human." ~Victor Frankenstein, Penny Dreadful