Parallel DNA assembly is the assembly of multiple fragments of DNA in a single reaction. Assembly techniques can be grouped into those that use restriction endonucleases, including BioBrick and Type IIS (e.g. Golden Gate), and those based on overlaps between adjacent parts such as Gibson Assembly, CPEC, SLIC, Ligase Cycling etc. There are several recent reviews that compare various parallel DNA assembly techniques. e.g. Patron (2014) and Casini et al (2015).
In the lab we most frequently use TypeIIS mediated cloning and have published a toolkit for plants and established standards for plants. For sequence-independent cloning we recommend Gibson Assembly.