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Socialist Party from WikiPedia:

Socialist Party is the name of several different political parties around the world that are explicitly called Socialist. All of these parties claim to uphold socialism, though they might belong to different branches of the socialist movement and might therefore have different interpretations of what socialism means. Most of these parties advocate either social democracy, democratic socialism or even Third Way as their ideological position. Many socialist parties have explicit connections to the Labour movement and trade unions. See also Socialist International, list of democratic socialist parties and organizations and list of social democratic parties. A number of affiliates of the Trotskyist Committee for a Workers' International also use the name Socialist Party.

These are parties which no longer exist or have changed their name from socialist party

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