thyself = yourself, what is the equivalent of *others*?
The only significant differences in Early Modern English (the English of Shakespeare) is in the form of the second person singular (thou/thee/thy) and the verb forms of second and third person singular (thou sayest, he saith).
These follow into singular reflexive pronouns, because the your of yourself is thy, so it's thyself. Yourselves doesn't change, because you/your is the correct EME plural.
Others doesn't change. Here it is after a preposition, which would normally be an object (me, thee):
Kneel not to me:
The power that I have on you is, to spare you;
The malice towards you to forgive you: live,
And deal with others better.