se (acc. and abl.), sibi (dat.), sui (gen.) and the possessive suus refer back to the subject: "himself, herself, itself, themselves; his, their own".
The same forms serve for singular and plural and for all genders: Contumelia se afficit anima "the soul disgraces itself"; animorum suorum motus "the movements of their own minds".
In an accusative and infinitive or a subordinate clause they may point to the subject of the main verb: nec intelligit … sufficere sibi "he does not understand that it is enough for him".
For "myself, yourself, ourselves" Latin uses the ordinary pronouns: te afficis "you treat yourself", tecum "with yourself", mecum "with me". ipse adds emphasis but is not itself reflexive.
"Each other" is inter se or sibi invicem: adversari … sibi invicem "to oppose one another". A non-reflexive "his, her, their" is ejus, eorum (genitive of is).