There's a long list of (slightly ribald) palindromes all based on Adam 'n Eve:
In Eden, I
Adam: Madam –
Eve: Oh, who –
Adam: (No girl-rig on!)
Eve: Heh?
Adam: Madam, I’m Adam.
Eve: Name of a foeman?
Adam: O stone me! Not so.
Eve: Mad! A maid I am, Adam.
Adam: Pure, eh? Called Ella? Cheer up.
Eve: Eve, not Ella. Brat-star ballet on? Eve.
Adam: Eve?
Eve: Eve, maiden name. Both sad in Eden? I dash to be manned, I am Eve.
Adam: Eve. Drowsy baby’s word. Eve.
Eve: Mad! A gift. I fit fig, Adam.
Adam: On, hostess? Ugh! Gussets? Oh, no!
Eve: ???
Adam: Sleepy baby peels.
Eve: Wolf! Low!
Adam: Wolf? Fun, so snuff “low.”
Eve: Yes, low! Yes, NIL on, no linsey-wolsey!
Adam: Madam, I’m Adam.
Eve: Named under a ban. A bared, nude man –
Adam: Aha!
Eve: Mad Adam!
Adam: Mmmmmmmm!
Eve: Mmmmmmmm!
Adam: Even in Eden I win Eden in Eve.
Eve: Pure woman in Eden, I win Eden in – a mower-up!
Adam: Mmmmmmmm!
Eve: Adam, I’m Ada!
Adam: Miss, I’m Cain, a monomaniac. Miss, I’m -
Eve: No, son.
Adam: Name’s Abel, a male base man.
Eve: Name not so, O stone man!
Adam: Mad as it is, it is Adam.
Eve: I’m a Madam Adam, am I?
Adam: Eve?
Eve: Eve mine. Denied a jade in Eden, I’m Eve.
Adam: No fig. (Nor wrong if on!)
Eve: ???
Adam: A daffodil I doff, Ada.
Eve: ’Tis a--what--ah, was it –
Adam: Sun ever! A bare Venus . . .
Eve: ’S pity! So red, ungirt, rig-nude, rosy tips...
Adam: Eve is a sieve!
Eve: Tut-tut!
Adam: Now a see-saw on . . .
Eve: On me? (O poem!) No!
Adam: Aha!
Eve: I won’t! O not now, I –
Adam: Aha!
Eve: NO! O God, I – (Fit if I do?) Go on.
Adam: Hrrrrrrh!
Eve: Wow! Ow!
Adam: Sores? (Alas, Eros!)
Eve: No, none. My hero! More hymen, on, on...
Adam: Hrrrrrrrrrrrrrrrrrrrrh!
Eve: Revolting is error. Resign it, lover.
Adam: No, not now I won’t. On, on . . .
Eve: Rise, sir.
Adam: Dewy dale, cinema-game . . . Nice lady wed?
Eve: Marry an Ayr ram!
Adam: Rail on, O liar!
Eve: Live devil!
Adam: Diamond-eyed no-maid!
Both: Mmmmmmmmmmmmmmmmmmmm!