Shapecatcher is described as 'new website, that helps you to find specific Unicode characters, just by sketching their shape. Currently about 10000 of the most important Unicode characters are compared to your sketch and are analysed for similarities' and is an website in the OS & Utilities category. There are more than 10 alternatives to Shapecatcher, not only websites but also apps for a variety of platforms, including Windows, iPhone, Android and Mac. The best alternative is BabelMap, which is free. Other great sites and apps similar to Shapecatcher are Character Map (Free), SymbSearch (Free, Open Source), UnicodeChecker (Free) and Gucharmap (Free, Open Source).
BabelMap is a free character map application for Windows that allows you to browse through the entire Unicode character repertoire of over 107,000 characters, or search for a particular character by name or by code point.