"exhilarating events" is correct and usable in written English.
You can use this phrase to describe any event which brings a feeling of excitement and joy to the people involved. For example, "The summer concert series offered a variety of exhilarating events to enjoy."
"What an exhilarating event!
It was an exhilarating event.
This is a crown jewel, the most exhilarating event I've ever been associated with".
Last spring's "cedar revolution" is now widely seen as an exhilarating event, the momentum of which faded as the country's sectarian leaders resumed their habits of sniping at each other, jockeying for power and using foreign alliances to bolster their position.
Occasionally I would be invited to a house party with a fun theme, like "Pimps 'n' Hoes" or "Chavscum": an exhilarating event in any pubescent socialite's calendar.
And despite initial cynicism about an "Olympics for the retarded?" the first Special Olympics proved to be an exhilarating event for the hundreds of exhausted young athletes and the thousands of volunteers energized by Eunice Shriver.
The anticipation surrounding London's 2012 Summer Olympic Games inspired us to seek out other exhilarating sporting events around the world.
The event was exhilarating.
So showing up whether an event is exhilarating or when the sun is beating down on you and you feel discouraged is the least any of us can do.
Just three days after that Schumann song recital at Juilliard, I was at another exhilarating free event there, Juilliard New Dances: Edition 2011, at the Peter Jay Sharp Theater.
"A source of vehement disagreements, a security risk for all who attend it and a frequent focus for unrest and protest, the Quidditch World Cup is simultaneously the most exhilarating sporting event on earth and a logistical nightmare for the host nation," Rowling writes.
