A list of software developed to create simulated repertoires, either ab initio or using an existing repertoire as a base. See also https://goo.gl/oKGxLu which contains some additional details and was the base from which this list was created.
This is a wiki page. Please edit and add software you know about. However, note that this is not the place for closed-source commercial software vendors to advertise their products.
Tools that can be trained to mimic features of a given repertoire
Other related tools:
Tools that simulate mutations in an existing sequence or repertoire:
SHazaM (Gupta et al., 2017) - introduces mutations into sequences or lineage trees, according to an SHM mutability/targeting model.