Though Amazon won't price match other stores, plenty of stores will price match their own prices with Amazon. Best Buy, Target, Lowe's, Bed Bath and Beyond, Nordstrom, Joann, Kohl's, JC Penney, and Staples are the major stores that generally price match Amazon. One caveat that you should always keep in mind is that the price match policies tend to be a bit murky, especially when it comes to online price matching with Amazon.
Most retailers will only price match for items directly sold by Amazon: nothing by third parties. Also, some of these stores won't price match Amazon, but their own online retailers will. If you want more information on price matching specific stores, it's a good idea to look up each policy, or even contact your local store or online customer service.