How about a collapsible playhouse (the little fold and go fabric kind) or tunnel, musical instruments (Plan Toys has some cool ones), toddler flashlight, big blocks (cardboard or wood), barrettes, a magazine subscription to the toddler version of highlights or Animal Baby, new bath toys.
Another idea--after my daughter's first two Christmases, I remember wishing that the grandparents had bought a savings bond or stock or given her a check for her savings account instead of toys. She had received so many toys-many duplicates or similar items that I just didn't have space for. You could give her a small something and money of some sort. She is so young, she is probably still happy with one toy and all the boxes and wrapping paper! Wait to splurge on the toys until she is old enough to get really excited.
I bought my 1 yr old grandson art things...crayons made for toddlers and big coloring book and paper to scribble. also non-toxic washable paints. There are many things the two of you can do together. when my daughter was pregnant, her mate, her and I painted an abstract picture. when they dried, we put our handprint in the middle. they painted one spare, then put baby foot and hand print in middle. these "works of art" hang in the baby's room.
I concur on the collapsible playhouses. MAKE sure you get the kind that just "pop" open and NOT one you have to put together with tent poles. My kids loved the tents and tunnels but the only one I didn't throw out was the one that just popped open without assembly. The tent poles become swords, get lost and in my case forced an emergency room visit after one of the kids jabbed one into the roof of his mouth. Yes lots of blood, no stitches and no permanent damage but you know what they say about playing with sticks.
I also love all things Imaginext (Fisher Price). The prices on these toys are good and they are incredibly durable. I found the Imaginext toys are the only ones that transfer from toddler to kid. LEGOs and Imaginext are now staples in my house but the Imaginext get played with no less than the LEGOs...plus they are so much easier to clean up that LEGOs.
1-year olds love sitting around in costumes. After Halloween is a good time to stock up on costumes and they transfer well into kid-hood as well. I finally had to hide a 2T costume that one of my kids had WAY outgrown but was still putting on. I'm surprised by how much more durable costumes are now than when I was a kid 30 years ago and all of our costumes seem to have lasted well beyond Halloween.
Gund Peek A Boo Bear-Animated With Voice I saw this bear in action, IT IS A RIOT! The bear holds up a blanket, lowers it, and says several phrases in an adorable little " bear" voice and laughs. So cute!