Updated 8 April 2014
Here are the First and Second fleets - the names have been gleaned/taken from Wikipedia.  More ships to come...

The First Fleet is the 11 ships which left Great Britain on 13 May 1787 to found a penal colony that would become the first European settlement in Australia. The fleet consisted of two Royal Navy vessels, three store ships and six convict transports, carrying more than 1,000 convicts, marines and seamen, and a vast quantity of stores. From England, the Fleet sailed southwest to Rio de Janeiro, then east to Cape Town and via the Great Southern Ocean to Botany Bay, arriving in mid-January 1788, taking between 250 and 252 days from departure to final arrival.

Naval escort

The fleet included two Royal Navy escort ships, HMS Sirius and HMS Supply.

Ship	Type	Captain	Dep. England	Arr. Botany Bay	Duration
HMS Sirius	converted merchant ship/armed naval vessel – Flagship of the fleet	Captain John Hunter	13 May 1787 at Portsmouth	20 January 1788 at Botany Bay	252
HMS Supply	armed tender	Lieutenant Henry Lidgbird Ball	13 May 1787 at Portsmouth	18 January 1788 at Botany Bay	250

Convict transports

Ship	Type	Master	Crew[12]	Dep. England	Arr. Botany Bay	Duration	Male convicts arrived (boarded)	Female convicts arrived (boarded)
Alexander	Barque	Duncan Sinclair	40	13 May 1787	19 January 1788	251	210 – two were pardoned	none
Charlotte	heavy sailer	Thomas Gilbert	30	13 May 1787	20 January 1788	252	100	24
Friendship	Brig	Francis Walton	20	13 May 1787	19 January 1788	251	80	24 – to Cape of Good Hope only
Lady Penrhyn	transport	William Cropton Server	31	13 May 1787	20 January 1788	252	none	102
Prince of Wales	Bark	John Mason	25	13 May 1787	20 January 1788	252	2	47
Scarborough	transport	Captain John Marshall	35	13 May 1787	19 January 1788	251	210	none

Food and supply transports

Ropes, crockery, agricultural equipment and a miscellany of other stores were needed. Items included tools, agricultural implements, seeds, spirits, medical supplies, bandages, surgical instruments, handcuffs, leg irons and a prefabricated wooden frame for the colony's first Government House.^[13] The party had to rely only on its own provisions to survive until it could make use of local materials, assuming suitable supplies existed, and could grow its own food and raise livestock.

Ship	Type	Master	Crew	Dep. England	Arr. Botany Bay	Duration (days)
Golden Grove	storeship	William Sharp	N/A	13 May 1787	20 January 1788	252
Fishburn	storeship	Robert Brown	N/A	13 May 1787	20 January 1788	252
Borrowdale	storeship	Houston Reed	N/A	13 May 1787	20 January 1788	252

Second Fleet (Australia)

The Second Fleet is the name of the second fleet of ships sent with settlers, convicts and supplies to colony at Sydney Cove in Port Jackson, Australia. The fleet comprised six ships: one Royal Navy escort, four convict ships, and a supply ship.

The ships were intended to sail to Australia together, arriving at Sydney Cove in 1789. However the escort was disabled en route and failed to make the destination, and one convict ship which was delayed arrived two months after the other ships.

Unlike the preceding First Fleet, where great efforts were taken to ensure the health of the convicts, the Second Fleet was contracted to private businesses who kept the convicts in horrific conditions. Upon arrival the sickly convicts were a drain on the already struggling colony.

Ship	Image	Type	Master	Crew	Dep. England	Arr. Sydney	Duration	Male convicts arrived (boarded)	Female convicts arrived (boarded)
Lady Juliana		convict transport	Thomas Edgar	35	29 July 1789	3 June 1790	309 days	n/a	222 (226)
Guardian		converted gun ship to convict transport	Edward Riou		12 September 1789	disabled en route	n/a	20 (25) - see below	n/a
Justinian		storeship			20 January 1790	20 June 1790	151 days
Surprize		converted merchant ship to convict transport	Nicholas Anstis		19 January 1790	26 June 1790	158 days	218 (254)	n/a
Neptune		convict transport	Donald Traill		19 January 1790	27 June 1790	159 days	? (421) + 12 from Guardian	? (78)
Scarborough		converted transport to convict ship	John Marshall		19 January 1790	28 June 1790	160 days	180 (253) + 8 from Guardian	n/a