Hey there!...
DD loves stairs too, so we do do those a lot! She has recently discovered books and how to turn the pages, so that is fun too

... she also likes to play with spatulas and measuring cups in the dishwasher (clean of course)... we don't use our dishwasher but I open it for her while I wash by hand

Let's see, what else do we do in this horridly cold weather... hide'n'go seek (or a version of it)... play with the kitty; she sits with me while I spend time with the dogs... plays in the dryer (well, leaning into it) while I do laundry; we dance to music (up and down and up and down), build block towers (I build, she razes)

, play peek-a-boo...
Her day goes something like this:
Up ~730
bottle in bed with Mom & Dad

Watch Mom try to get the dogs outdoors (one goes, the other is afraid of linoleum. Long drawn out process every morning)

Eat breakfast (oatmeal, bananas, the like)
Play in kitchen (or laundry room, etc) while Mom does chores, until
Nap ~1030
Lunch when up (1230-1p)
Play in living room with Mom and the dogs; help Mom pay bills (stamps are yummy) or try and grab the phone while she's talking...

Run errands with Mom (if we absolutely have to go out, this is when I do it)
Snack ~4
Nap ~430
Dinner when up ~7
Play with DADDY !!! Bathe (if it's the day for it), get dressed for bed, unwind (no music, or calm-ish quiet tunes if any; everybody in one room, just talking etc)...
Bed ~9
Does he walk yet? Chloe just started on a daily basis about two weeks ago. Makes life a little more interesting!
Sometimes, if we are really bored, I give her a bath. 1) She loves it; 2) It is a nice warm place, the bathroom!

3) I figure it can't hurt to have a bath more frequently than not; 4) It takes up time, while educating, entertaining, and enlivening (WARMING!) the body and the mind!

Little things Chloe just LOVES to see/do:
Popcorn popping on the stove
The kitten
The dogs
Watch Mommy go to the bathroom (yeah, I know. But heck, maybe one of these days it'll help her potty-train!)

Dance w/ Mommy to music

(she LOVES Andre Rieu and the Polar Express soundtrack especially)
She loves when I clip coupons or read a magazine (though I have to be very patient with her, so it can be very trying at times)...
HTH!