It can also depend on the port and passenger demographic, for example non-US pax can delay the whole process if they haven't been cleared prior to arriving in a US controlled port, or nationals from some countries are not permitted to go ashore in other regions.
But for the normal day to day events, Donna's answer has it all.
Last: Oceania Nautica Aug 2016
Next: Cruise Maritime Magellan Nov 2016
Then: P&O Oceana December 2016
Golden, Grand(2), Caribbean, Royal, Sea(4+1 aborted)
Adonia(4+2), Arcadia, Artemis(2), Aurora(5), Azura(2), Britannia, Oceana(3), Oriana(12), Ventura(2), Victoria(5)
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Oceania Nautica, Minerva, Minerva II, Fred.Olsen(8), NCL Jade, =X= Eclipse, HAL Ryndam, Aza.Journey