That... entirely depends. I am a former Protestant and have spent several years helping in Catholic youth ministry. My wife is a former DRE and now acts as a consultant DRE/retreat coordinator for a couple of parishes. We often talk about how those parishes run their ministry and how it might be improved.
What I did as a Protestant
One major difference: a lot of the youth-oriented ministry happens in parallel or in the stead of Sunday services. Sunday School is something very foreign to the Catholic Church, even when "children's liturgy of the word" is available. Much, if not most, catechesis happens during that period. This model means that if the parents don't go to church, neither do the kids. In that sense, outreach to parents is outreach to kids.
There will often be other ministries which meet and try to bring kids in. In the church I was raised in, it was not unheard of for parents to have limited or no involvement in these groups (or in the church as a whole). Come to think of it, I remember that one's parental involvement could be summarized: "drop the kids off." The impression I got was that the purpose of the ministry was for the kids and the youth minister would do his best to talk with kids outside of that if the kids wanted to.
I remember another ministry that was purely focused on giving kids a safe, drug free place to hang out. There would be a testimony at one point in the evening, but it didn't really exist for the purpose of catechesis.
Why whole-family is particularly important to Catholics
I think that it also might be important to note why there is an emphasis on family catechesis in the Catholic Church. Unlike many Protestant denominations where the accepted doctrine is, "know your Bible," the Catholic Church has a defined set of dogmas which cannot really be disagreed with (well, you can disagree, but you're wrong). This places a special emphasis on getting parents to be aware of what the Church teaches.
Additionally, there are many people who were Catholic at some point, but then faded. However, they still want their kids to receive the sacraments (this phenomenon does not frequently occur in Protestant settings, because, for the most part, there is no major sacrament between baptism and marriage). Whole family catechesis, as a requirement, affords the catechetical ministries of the Church the opportunity to preach to these people and try to get them to at least think about what it means to be Catholic and why they want their kids to receive the sacraments to begin with.
As a final note, the whole-family models are most often associated with sacramental preparation. Many Catholic churches will offer ministries which are similar to the youth ministry I grew up in. While these ministries will actively seek adult volunteers (parents are great at helping set up and tear down, let me tell you), more often the focus is on helping the teenagers grow in their faith, even it the teen is not Catholic (I knew one girl who was baptized because of one of these programs) or does not have Catholic family (all too often).