Covers:

1966:

Nelson Riddle [orchestral version for the ABC TV series]

1966:

Scotty McKay Quintet [alias Max Lipscomb, ex Blue Caps (Gene Vincent)]

1966:

Ventures

1966:

Jan & Dean [they do the theme song along with their own Batman]

1966:

Marketts

1966:

Jokers [B-side of Napoleon Solo (see there)]

1966:

Standells

1966:

Maskers

1966:

Link Wray & His Ray Men

1966:

Sun Ra

1966:

Who

1967:

Kinks

1977:

Jam

1978:

NRBQ

1986:

Guana Batz

1989:

Prince [in Batdance; n°1 US]

1995:

Iggy Pop

2002:

Flaming Lips

2015:

Melvins