We have crufts here, westminster in the us, what are the big european equivalents?

european winners show.

world dog show, it tends to be in europe as they get more entries.

thanks :)

I think each country has its own biggest show of the year. In Sweden it is the December show nicknamed "Big Stockholm" that is the most important one.

Yes, many european counties hold a "winners show" once a year, where a title Winner+year can be won...
This show is the main event of the year in each country, like Crufts is here.