"first ever race" is a correct and usable phrase in written English.
For example, you could use it to say: "The first ever race at the new track was a huge success."
Do you remember your first ever race?
Do you remember your first ever race as a child?
What was your first ever race and how did it go?
I feel I know the track in Qatar extremely well, having done a lot of testing on it, and the fact that it is the first ever race to be conducted under floodlights is also a boon for me as I was among the first to test on it and understand the difference it makes better than anyone.
I only tried it for the first time in Calgary last season so to be here in Austria, at the first ever race and win is just amazing.
"The London Marathon is up there with all of my achievements because it was the first ever race I did as a young lad and then it was the first big race I won, so it has a special place in my heart.
The Race Relations Act, Britain's first-ever race relations law, came into force 50 years ago.
Guernsey's Andy Priaulx was 'delighted' to finish sixth in his first-ever race in the DTM championship at Hockenheim.
The first-ever race of the modern F1 era was held at the former World War II airfield back in 1950 and, over the decades, many of the sport's most famous faces have won there.
His first-ever race was the Kentucky Derby, followed four days later by the Preakness.
The horse, which became a crowd favorite and reenergized interest in the sport, was bred in California and is owned by two men in their first-ever racing partnership.
