I am mostly drawing from Slow and Steady, Get Me Ready, making modifications for how Meg liked things. Meg is 15 months so my ideas are based pretty much near this age.
1. WHAT IS MOVING? Get three objects and tie a string to each one with about a foot extra length hanging off. Cover all three objects with something, leaving the strings hanging out. Tug on a string and let the child guess which object you are tugging on. Meg wasn't too into guessing but she loved watching the objects appear and disappear from the towel. We just did one or two at a time, not all three.
2. LOOK AT ME Lay the child down on a big piece of paper and trace around her body. Together, draw facial features, clothing items, etc., and name them. Let the child point to different parts and name them for her, or name things and let her point, etc. Leave the drawing out for a long time, maybe hang it on the fridge.
3. LET'S PLAY BALL Meg loves balls. About six inches in diameter is a great size for rolling and catching, but many other sized provide good variety and encourage different skills. We roll the ball back and forth between us, throw it at targets, bounce a small plastic one on wood or tile, bounce Meg up and down on a really large one, etc. Much fun!
4. CONTAINERS AND LIDS Variations on this have been mentioned before but there are just so many great ideas with these as well. Get about six containers with their lids, some different sizes and some similar. Let the child just explore with them for a while, trying different lids on different containers, nesting the containers, etc. Then if you want, show her which lids go with which containers. Maybe put out one or two containers with the wrong lids and see how she reacts. Lots of fun!
5. PICK UP Get several objects like a cup, a block, a spool, a clothespin, a spoon, etc. Also get a paper bag they will all fit into. Name each object for the child and let her take them all in and out of the bag, maybe making requests to her along these lines. Encourage her to find other things to put in the back. Lay all the objects out and say the name of one of them and ask her to put it in the bag. Do the rest of them, and do the same thing taking them out. Again, lots of variations.
I'm always reminded by ideas like this that the simplest things can provide a lot of entertainment for little ones who are discovering objects and tasks for the first time!
Enjoy those babes!