another me vs another myself

Some examples from the web:

• And it seems there's another me.
• But residing within you is the potential for another me.
• I need another me, and she is the closest thing.
• Unless... I create another me.
• David, I just saw another me downstairs.
• And I'm trying to find another me.
• It's like there's another me somewhere
• I guess Karma didn't want to turn you into another me, after all.
• Aeryn, that is a bad plan, you really don't want another me. John...
• What are you saying, he's another me?
• Are we about to get another me?
• Commander,... ...can this be another me?
• Once, when we met another me, and once when we encountered another Daedalus.
• I mean, is it possible that they grew me, another me in a petri dish, and they embedded me with the memories, or it with the memories,
• And I'm trying to find another me.
• Or more, because you were another me.
• I did not want you to look at another me.
• I would like to have another me to travel along with myself
• Alan's having another me to put you on the list?
• Or more, because you were another me.

Some examples from the web:

• - I'll get another for myself.
• Make a promise to you, break another to myself.
• In order to understand my destiny, I must know if there is another like myself.
• If I decide to hit, and perhaps kill, another man myself, then I must be prepared to accept the moral responsibility.
• If you eat the whole thing, I'll have to shoot another for myself.
• I kill you and buy myself another scientist.
• In fact I even wrote myself another letter.
• And I'd get myself another cup.
• - Oh. I guess I'd better pour myself another cran-tini.
• I could run into another instance of myself, and it...
• Guess I'll just have another one by myself.
• I went down to crate barrel and bought myself another set.
• I had to give up on you and bought myself another hitter.
• 'I promised myself another before I got to London.
• I'd be obliged if I got myself another chance.
• I'm saving myself for another.
• I'm grounding myself for another week.
• And I can't honestly see myself lasting another one...
• Maybe I just can't fully give myself to another person.
• I rode the bike a long way and found myself in another sector.