This is what passes for an Irish-themed place in my city of 285,000 in Quebec.
https://www.cafemulligan.com/
Though there is also this place very close by that is supposedly a "British-style" pub:
http://thebritish.ca/fr/home-2/
That's just about the only stuff we've got.
Across the river in Ottawa in Ontario, there is a chain of Irish-style pubs with 10 locations.
Here is the main one in the Byward Market historic district:
https://www.youtube.com/watch?v=lWZrHcNfg6Q