We know that in very early Judaism Avraham and Sarah converted people to Judaism
We know that if your mother was Jewish you are Jewsish
We know that it is possible for a Gentile to convert to Judaism or possibly even if your not a Gentile
We know that most Jewish people have strong DNA tie to the heritage
In my personal experience I have encountered a lot of people who wanted to convert me to their religion. Some are rather insistent on it (door knockers), but not to Judaism.
Have there ever been missionary works trying to convert large bodies of people to Judaism? (excluding the very early times of Avraham)