This is a chronological list of ships named Enterprise, it's probably missing some, if you know any including non-Trek scifi or fantasy let me know and I'll put them in the list.

1705
This HMS Enterprise was originally a 24 gun French Frigate that was captured by the British and put into service in the Royal Navy.

1706
This HMS Enterprise was originally the HMS Norwich, a 50 gun ship that was commissioned in 1693. She was decommissioned in 1764 and broken up in 1771.

1743
This HMS Enterprise was another that was in the service a foreign power, in this case the Spanish, it was captured by the British and put int o service in the Royal Navy.

1774
This HMS Enterprise was a 28 gun frigate used by the Royal Navy.

1775
This USS Enterprise was originally being built in Quebec for the Royal Navy but was captured by American forces and put into service with the Continental Navy. It was burned to prevent capture in 1777.

1776
This Enterprise was a 25 ton schooner with 60 crew and 8 guns, operated by the Continental Navy until 1777

1799
This USS Enterprise fought against privateers and pirates and eventually broke up in 1823.

1814
This Enterprise was the first steamboat to ascend the Mississippi and Ohio rivers.

1829
This Enterprise (or Enterprize) was used as a coastal cargo ship hauling coal, livestock and other supplies around Australia.

1831
This USS Enterprise served in the US Navy until 1844

1848
This HMS Enterprise was an arctic discovery ship sent to search for Sir John Franklin's lost expedition.

1855
This Enterprise was a steamboat that operated primarily on the Willamette River in Oregon and the Fraser River in British Columbia.

1862
This Enterprise was a Sternwheeler that operated in the Upper Fraser River from Soda Creek to Quesnel in British Columbia.

1864
This HMS Enterprise was an armored corvette (ironclad) used by the Royal Navy.

1874
This USS Enterprise served in the US Navy until 1909

1918
This HMS Enterprise (D52) was an Emerald Class light cruiser with the Royal Navy and saw much action during WWII against both Germany and Japan.

1936
This USS Enterprise (CV-6) nicknamed "The Big E" is considered by some to be the most glorious and honored ship in the history of the US Navy, earning 20 battle stars during the second world war, more than any other Navy ship.

1959
This HMS Enterprise (A71) was nicknamed "The Starship" was a survey vessel used by the Royal Navy, she was sold in 1985.

1961
This USS Enterprise (CVN-65) nicknamed "The Big E" is the first nuclear powered aircraft carrier and is the second oldest commissioned naval vessel in the world at 49 years after the USS Constitution which has been in service for 213 years.

1977
The Space Shuttle Enterprise (OV-101) A ship that never flew in space,

2003
This Echo Class HMS Enterprise (H88) currently serves as a survey ship in the Royal Navy out of Devonport, Plymouth.

2123
This USS Enterprise (XCV 330) was an early warp ship used by Earth's Starfleet to explore nearby solar systems.

2151
This USS Enterprise (NX-01) was used by Earth's Starfleet to explore new worlds.

2245
This USS Enterprise (NCC-1701) was used by the Federation's Starfleet to explore new worlds. It was made famous by Captain James T. Kirk. It was destroyed in 2285

2286
This USS Enterprise (NCC-1701-A) was virtually identical to the previous Enterprise. James T. Kirk commanded this vessel until it was decommissioned in 2293.

2293
This USS Enterprise (NCC-1701-B) was an Excelsior Class Starship used by the Federation's Starfleet to explore strange new worlds, Commanded by Captain John Harriman and eventually Demora Sulu.

2332
This USS Enterprise (NCC-1701-C) was an Ambassador Class Starship commanded by Rachel Garret, it was destroyed by Romulan Warbirds after responding to a distress signal from the Klingon Colony of Narendra III.

2263
This USS Enterprise (NCC-1701-D) was commanded by Captain Jean-Luc Picard until its destruction in 2371.

2372
This USS Enterprise (NCC-1701-E) was commanded by Captain Jean-Luc Picard.