"pleasure that" is correct and usable in written English.
It is most commonly used to introduce a statement or clause of gratitude or appreciation. For example: "Pleasure that you could join us for dinner."
What a pleasure that would be!
But weddings are not a pleasure that come cheap.
If critical paranoia poisoned visual and imaginative pleasure, that was unavoidable: a toll of enlightened consciousness.
It's also a pleasure that can be had for far less than $400.
Yet the pleasure that comes from listening to her can sometimes be marred by watching her.
You have simply to accept that it's a pleasure that has passed you by.
I'll admit, though, that there's a certain geeky pleasure that goes along with the process.
At least to Finns, the sauna is a pleasure that is hedonistic yet spiritual.
The Boy Who Cried Wolf! is a pleasure that takes place outside Bristol Old Vic.
Viewing pleasure that is!
In the first place, it is not crude sensual pleasure that is the aim.
