Catastrophe (2015-) 
American boy Rob gets Irish girl Sharon pregnant while they hook up for a week while on a business trip to London.
Showing:
Catastrophe: Episode 2 Season 4, Episode 2
Rob's sister visits and makes some introductions to Rob and Sharon; Sharon has some trouble at work; Sharon, Fran, Chris (and Chris' new girlfriend) get together to attend a suprising Shakespeare performance by Jeffrey. [more inside]
Catastrophe: Episode 1 Season 4, Episode 1
As Rob is sentenced to community service, finding a new acquaintance in the process, Sharon finds her own tools for dealing with the resulting upheaval. [more inside]
Catastrophe: Season Three Season 3 (Full Season)
From the Amazon description:
Rob and Sharon have faced down unexpected pregnancy and abrupt parenthood, but can they survive Rob's discovery of a suspicious receipt?[more inside]
Catastrophe: Season Two Season 2 (Full Season)
The return of the dearly-loved-by-at-least-a-few-of-us Channel 4 series to American streaming via Amazon. The first season ended on a down note -- will Sharon and Rob reconcile? Of course they will, but will it take? [more inside]
Catastrophe: Episode 3 Season 1, Episode 3
Sharon keeps waking in the night worrying about her pregnancy whilst Rob is having problems generating business for the advertising agency and is relieved to run into Chris, who, on a night out, suggests a career change. Sharon is not encouraging. Sharon herself meets up with old flame Owen, who is now married to a best selling author, which makes Sharon feel a failure. Fortunately for her Rob is sympathetic.
Catastrophe: Episode 2 Season 1, Episode 2
We meet Rob's mom (Carrie Fisher!), who doesn't seem particularly enthusiastic about this whole thing. Rob buys a ring and is made to feel bad when he goes for the cheaper (£2,000) one. [more inside]
Catastrophe: Episode 1 Season 1, Episode 1
Rob (Rob Delaney of Twitter fame) and Sharon (Sharon Horgan of Pulling fame) have a wild week of virtually anonymous sex while he's in London. Months later, she calls him out of the blue to tell him she's pregnant. He moves across the Atlantic to raise the baby with her. [more inside]