1) Do a Shakespearean bit 2) Monologuise 3) Monologuize 4) Soliloquise 5) Speak 6) Talk 7) Talk to oneself 8) To perform a soliloquy 9) To talk to oneself Found on https://www.crosswordclues.com/clue/soliloquize
So·lil'o·quize intransitive verb [ imperfect & past participle Soliloquized ; present participle & verbal noun Soliloquizing .] To utter a soliloquy; to talk to one's self. Found on http://www.encyclo.co.uk/webster/S/141
soliloquize 1. To talk to or to converse with oneself, or to utter one`s thoughts aloud without addressing anyone. 2. Performing a literary production representing, or imitating, a discourse. 3. The act of speaking to oneself; soliloquizing. Found on http://www.wordinfo.info/words/index/info/view_unit/2533/7