TheFork users who ate in Ambérieux have said really good things about Le Jardin Gourmand, Le Télégraphe and Brasserie du Théâtre. Maybe you should give them a try!
Some of the more popular New year's eve restaurants having a terrace in Ambérieux according to TheFork users include:
Le Jardin Gourmand, with a 9 rating
Le Télégraphe, with a 9.5 rating
Brasserie du Théâtre, with a 8.9 rating