DS (now 2.5 yo) was like this with DH and both he and I hated it so:
Mummy suddenly wouldn't read DS's favourite bedtime stories (my eyes broke apparently
) and they became Daddy books as he went to Daddy in desperation to have them read.
On DH's work at home day he takes DS to a playgroup for an hour or two.
DH takes the DC's out by himself at the weekend at least once - to the park, to the supermarket, to my mum's. He now takes them to London on the train and in April is taking them to Italy without me.
I talk about Daddy and make him sound really exciting. If there is something they really want to do I suggest Daddy takes them.
After tea I disappear and DH gets out a big pile of blankets and cushions and helps them build dens/forts with the dining table chairs.
He bakes cakes and other fun stuff but he also does baths and changes nappies, I won't help even if DS is screaming.
DS is only allowed to look at the Ipad if she is sitting next to him and DS has discovered that Daddy will sing the long versions of songs that Mummy doesn't know - he will use his Iphone to get the lyrics whereas when I sing there is a lot of 'dum dum de de, lalalaa' where I don't remember the lyrics.
DS loves watching shuttle launches/planes taking off and monster trucks etc on YouTube but only Daddy is willing to do this.
Quite often if DS rejects DH then DH will go and loudly do something interesting in another room, which piques DS's curiosity. Especially if he is doing that interesting thing with DD and DS feels that she is getting something he isn't. He often goes through and then I stay where I am whilst they play.
There are a lot of things that are solely 'Daddy things' and they are learning that if they want to do them they have to ask DH.