We recently got two Expedits for our living area and I've been desperately seeking a sturdier bin for heavy items. I ended up with these galvanized bins from Walmart. They are a perfect fit (just a couple inches of space above) and are sturdy enough to hold a couple sets of Magnatiles, so they pass the test.
http://www.walmart.com/ip/Better-Hom...ilver/24534331
We also got these less-sturdy than the galvanized bin, but more sturdy than the standard fabric bin, and look "more living room than play room" baskets - which was a combination difficult to find in colors: http://www.walmart.com/ip/Whitmor-Ra...e-Red/25957571
HTH!