I'll have to use google map links. CoV may be adverse to mid-rises but I can't agree with you for the rest of the region. I've seen plenty of it in Burnaby, Surrey and Langley (I'm sure it's not limited to there - that's just where I've noticed it).
Burnaby has plenty of retail with 3 floors above - I wish they would go another 2 floors on some of the buildings but...

Here's
a pair near Royal Oak Station that are a prime example, and another is being built just down the street. Here's
a couple of
examples of row houses.
While technically a little shorter than what you're asking for, I keeping seeing
variations of this style of townhouses (or whatever they want to call it) throughoutt the region.
Surrey and
Langley in particular seem to like building these instead of SFH. Also let's
not forget Richmond. It's an easy way for them to add some 'gentle density'.