• Grocery Cart (high chair) cover- Not sure what the official name was.
• Bouncy seat.  My kids stayed in them until 2
• Umbrella Stroller for when they are older.  Much easier to get in and out then the big bulky ones.
• Car seat - I do like the infant seats at first too.  That way you don't have to wake your little one up every time.
• High Chair

All the kids used those items, but i did have a couple that the swing and baby slings were a life saver for.   

Mine would be:1. A swing (this worked wonders with all of my boys)2. A baby carrier (they are great when out and about. Travel systems were just too bulky for me, I used one with my first and never again)3. Infant car seat4. Heartbeat bear – (my youngest had to have his everywhere he went)5. Boppy (my youngest is still attached to his and he is about to be 3)

For very little ones, I would add a good swaddling blanket. And the Happiest Baby on the Block. Both were lifesavers for me.

I LOVED my moby wrap and used it alot the first few months! All my kids loved the bouncy seat and used until 5 months or so. None of them strangely were big swing kids.