It may be a bit slow paced for a slice of life genre but I honestly loved it be cause I have a couple of friends who are first time dads and I can totally see them doing the same thing Goto does for his daughter in some of the antics.
Fruits Basket, followed by Listeners, and Kagushigoto. Birdy I think you might actually like that last one be cause of the wholesome father/daughter relationship fluff in it. You too Web!