They should do, what he/she feel like doing.
Let it be their own idea.
I have a daughter.
My Husband, does so many things with her, letting her take the lead in it.
My daughter is 10 now, and she and my Husband are very close.
He even would play make-up with her when she was a toddler.... letting her fuss with his hair and putting on theatrical washable make-up on him.
He even played tea-party with her, DOZENS of times.
My daughter would have her own ideas, about what she wanted to do with Daddy.
Or now that she is older, they go hiking together. Just the 2 of them. Or she loves when at night before bed, he tucks her in, but lets her just chat away... about her day and everything she has on her mind! Its real cute, seeing them chat that way. And he really listens, as she talks! So they learn about each other, that way, by chatting. And he tells her about when he was a little boy etc.
The thing is, my Husband, does girly stuff with my daughter if she wants to. Or what her ideas are that she wants to do with Daddy.
They even cook together. They love that... picking a recipe from a cookbook, then going to the grocery store to get the ingredients, then coming home and organizing it all and then, cooking it. Together. My daughter is a great able cook, since she was even 7 years old. And they love cooking together.
Sure, my daughter loves crafts etc. as most girls do. So my Husband does those things with her too.
Or they like to watch movies together.
Its all bonding. And my Husband, learns... about his daughter, as a person. And that is golden.
My Husband has really gotten good at chatting with my daughter. Even though he came from a family full of only boys and sports.
He even takes her sometimes, to get her hair cut.
Its all really nice "memories" for both of them.
Your sports loving Husband and your art loving daughter, CAN DO art together. He just has to want to.
They can paint clay plant pots together. Or paint rocks. Or just paint on a canvas... making an artwork, together, collaboratively.
And my Husband even taught my daughter, how to build some shelves. They hammered and cut wood and sawed and veneered, together. He taught her how to use, tools.
The thing w/my Husband is, whatever he and my daughter do together, it is so that he learns about her, as a person. That is the key thing for him. And he teaches her things along the way, just via chatting and observing life. They really bond that way.