You can use Escherichia coli (including in fed-batch process), yeasts., Ashbya gosipii, etc.
Particularly fungal lycopene is produced by Fusarium, Monascus, Penicilium, Neurospora.
Feofilova EP, Tereshina VM, Memorskaya AS, Dul’kin LM, Goncharov NG. Fungal lycopene: the biotechnology of its production and prospects for its application in medicine. Microbiology. 2006;75:629–33.