My 2-year-old daughter has always been drawn to cars/trains, so I can also recommend the IKEA trains and the rug. At Target, they have "B." brand toys which are great for this age, including these big soft cars:
http://www.target.com/p/b-wheeee-ls-4-soft-cars/-/A-12026424#prodSlot=medium_1_31&term=b+toys
The B. Woofer Hound Dog guitar was also a hit.
One thing he'd probably like that you might find cheap right now is a beach ball. Lightweight, easy to kick/throw and not likely to knock any lamps over.