The phrase "affair like this" is correct and usable in written English.
It can be used to refer to a situation or event that is significant or noteworthy, often with a sense of complexity or difficulty.
Example: "I never expected to find myself in an affair like this, where so many emotions are involved."
Alternatives: "situation like this" or "matter like this".
Will this be an indie affair like the first one or will you attempt to make it more of a blockbuster considering the cast?
"Would America allow any foreign agenda or country to interfere in its affairs like this?" asked the spokesman, Mahmoud Ghuzlan.
If your organisation goes on reporting my affairs like this, you'll be reading all about yours in the Spectator [the magazine he then edited]." My friend responded: "Stop a minute, Boris, and think about what you just said.
The game screamed out for a player capable of keeping his cool in the final third, someone with the ability to unpick defences in tense affairs like this with a killer pass, touch or a set-piece.
But more than a dozen have been fairly elaborate affairs like this one, with lighting, drainage, ventilation, pulleys for moving loads and other features that point to big spending by drug cartels.
A hundred more affairs like this and worse have happened to us and are happening to a touring musician somewhere on Earth right this second.
Some of those texts described a state of affairs like this as what could be possible under ideal social and political systems.
Readers familiar with current Marvel affairs will especially like this issue, but being a Civil War II expert is in no way required to enjoy this comic.
MONTREAL — Few other host cities enjoy a love affair like the one between Montreal and the Formula One teams.
That the New York Philharmonic would salute China with a glitzy affair like the Chinese New Year gala it hosted on Tuesday evening at Avery Fisher Hall should come as no surprise.
