Following yesterday's post here are a few of the activities I was doing with Otis when he was 18 to 23 months old. Age isn't so relevant, it's only a guide. It depends on what your child finds interesting, what skills they have and what skills they are working on. Children of this age are often more interested in gross motor activities - if your child at this age is more interested in moving and climbing that is totally fine too.
Playing pegging/stacking game.
Learning to brush teeth (note low mirror).
Playing with a lock box. (Similar Lock Box available US and Australia, the latch boards are great and Otis also loved this one.)
Lots of water play (sponging, pouring, transferring).
Washing things (preferably outside with lots of bubbles).
Matching model animals to cards.
For more activities for this age group you can read all of my Otis 18 to 23 months posts. If you have a child who is almost two years old you might also be interested in the 2 year posts.