Unicode-Table.com is described as 'Handy online Unicode character table with search tool, short information about origin and history of most characters in eight languages and some great compose-tools'. There are more than 10 alternatives to Unicode-Table.com, not only websites but also apps for a variety of platforms, including Windows, Mac, Android and iPhone. The best alternative is BabelMap, which is free. Other great sites and apps similar to Unicode-Table.com are WinCompose (Free, Open Source), Character Map (Free), PopChar (Paid) and Shapecatcher (Free).
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.
The character map that works! PopChar is an application that lets you insert special characters, umlauts and foreign letters into any document. With this character map, there is no need to search for or remember complex keystrokes.
Shapecatcher is a 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.
Small and fast utility that can generate a whole range of Unicode symbols or the range that you set for it. The app can export the list of symbols horizontally (by default) or vertically (in that case you also can show index number as option).