I've signed school books - BUT only after dsd's mum's boyfriend of a few weeks had done the same. Not as a tit for tat thing - I just took it that it would be OK to do it as he was. I had previously read with her, but never signed the book.
I've been to a couple of school functions but only once dsd's mum was ok with it. I've had to make dsd's costumes for school plays at dsd's request - and was always because I could never see her in it. It was great the year dsd's mum actually organised my ticket for me.
I've organised several haircuts for dsd.
We do things that are in her mum's "time" but dsd coming to them is reliant on her mum agreeing to it or agreeing to swap weekends - these days never a problem - but if it was it wouldn't be a problem for us.
I've been to dsd's mum's house, sat and had a cuppa and chat with her. Last time was dh's birthday and he'd had a couple of pints and needed to stay behind with dd. These days each time I'm with dh when we collect or drop dsd off I go in for a drink or a wee.
Where do I draw the line? I wouldn't phone her school or doctor, get involved in sorting out any issues like that. She has a problem with her feet and needs inserts in her shoes (discovered when I took her to buy her school shoes last summer), I haven't got involved with that other than to tell her dad, who told her mum.
I always ask her if she has homework and suggest to her she does it, I don't make her do it. I will help her with it though.
She's a fussy eater - I don't get involved with sorting that out. All I do is make sure she eats as healthily as she can when she's with us. If she refuses a meal and then eats crisps I don't get involved.
I don't get involved things like discipline, bedtimes, internet access, where she's allowed out to and until what time.