My dd is 21 months just now. She loves jumping so I can highly recommend a trampoline. She has a scuttlebug which she loves too. She's really into baby dolls and feeding them. And anything with balls.
She has a play kitchen and doesn't love it, she mostly just tries to destroy it.
For my daughters birthday in October (her second) we are looking at a balance bike, some Frozen stuff, some sort of art and craft thing, and more building blocks. It's 10 weeks before Christmas, so for Christmas we will probably buy her a portable DVD player for on the car as she's getting frustrated with rear facing so we hope that might amuse her a bit.
She already has a small trampoline which she isn't that fussed about! I thought about a pram and doll but her birthday is in march and I think I'm going to save they gifts for then when there is more opportunity to play out with them
My daughter has my old baby born (at my mum and dads house) her cousins old baby born at her other grandparents, she has a fisher price chime doll here and my first baby Annabelle along with two other random dolls. The baby Annabelle one is on special offer in Asda, 2 for £15 and it's a great wee soft bodied doll. If I were you I'd maybe look at a doll for now and then maybe a pram come march? I feel the doll has brought my daughters emotional intelligence on a tonne, and she actually chats away to it.
My dd hasn't really got into her trampoline until recently. I didn't know they didn't usually learn to jump properly until 2-3, my daughter has just started to like her trampoline despite having it for nearly a year. So there is hope for your wee one yet!
What about a teepee and a beanbag? We are making a reading corner for my daughter for her birthday.