When the Spanish queen decided to fight back,
she had her governors issue letters of marque, and a Portuguese man
named Manuel Rivera Pardal took her up on the offer. He had the audacity
to attack the "Mary and Jane," which was captained by a popular Dutch
buccaneer named Bernard Claesen Speirdyke, as she was leaving Cuba after
a friendly visit in 1670. Later, Rivero attacked Jamaica, then had the
audacity to send this message to Morgan:

"I, Captain Manuel Rivero Pardal to ye chief of ye squadron of
privateers in Jamaica. I am he who this year have done that which
follows. I went on shore at Caimonos and burnt twenty houses and fought
with Captain Ary and took from him a ketch laden with provisions and a
canoe. I am he who took Captain Baines [Captain Bernard “Bart”
Speirdyke] and did carry the prize to Cartagena, and am now arrived at
this coast and have burnt it.

"And I am come to seek Admiral Morgan, with two ships of war of twenty
guns, and having seen this, I crave he would come out upon the coast and
seek me, that he might see the valour of the Spaniards. And because I
had no time I did not come to the mouth of Port royal to speak by word
of mouth in the name of my King, whom God Preserve."

I know there were others (came across them in another book on Caribbean
pirates and privateers), but I don't know how famous any of them were
when compared to the English pirates. If you'd like their names, let me
know and I'll send them.

Augustin Alvarez was from Havana and active in 1683-84.

Juan Corso (also spelled Corzo) was from Spain or the Mediterranean and
was active from 1680-1685. Governor Thomas Lynch of Jamaica complained
about him several times in his correspondence.

Francisco Galesio was a Spanish corsair, slaver, and trader active from
1670-1673.

Andres Manso de Contreras was a Cuban active during the 1660s.

Blas Miguel was a Cuban, who tried to kill Laurens de Graaf. He died in
1687.

Andres de Los Reyes was also from Cuba and preyed the Caribbean in 1659.

Tomas Uraburrer was another Cuban, who was active in 1683.