From New Advent, comes a link to The Art of Manliness on 18 steps to be a good Father. While this is specifically towards actual, physcial dads, I think it applies to a good priest, too; for to be a good spiritual dad, you must first want to be a good physical dad:
Cherish your time with your children
It gets easier
Don't look at anything as 'mom' duties - share responsibilities
Love conquers all
Kids like making decisions
A little patience goes a long way.
Sense of humor required.
Read to the, often
Don't be the absent dad
Let them play
Spark their imagination
Limit TV and video games
Learn the 'Firm No'
Model good behavior
Treat their mother with respect, always.
Let them be themselves
Teach them independence
Stand together with mom.
Now, discuss how these apply to the priesthood!
Adoro highlighted a link to RobK, who adds:
I think if I were making a list it would have several similarities, but perhaps a bit different in some important ways; especially when it comes to teaching (via word and deed) my children about Christ, his Church, prayer and sacrifice. I would also want to teach them about responsibility and loving their neighbor and seeing Christ in those around them. There is also no mention of teaching (and living) a sense of justice or compassion or courage. Those would rank pretty high on my list as crucial to fatherhood.
I guess what I am saying is that the clearly secular list fine as an addendum, but it misses the entire point of life. The point is to know God, to love Him, and to serve Him in this life and be with him forever in the next. Everything we do as fathers should be directed toward that goal - for us, for our spouses, for our children, and for the community around us. That whole part seems to be missing.