"The Count of Monte Cristo" and "The Three Musketeers" are definitive adventure classics from Dumas...
Source(s):
http://en.wikipedia.org/wiki/Alexandre_Dumas,_père

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"Kidnapped" by Robert Louis Stevenson was one of my favorite books when I was young.
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Huck Finn, Call of the Wild (1903), Moby Dick, The Red Badge of Courage, A Tale of Two Cities,
Source(s):
I'm an English teacher :)

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Jules Verne's Journey to the Center of the Earth, From the Earth to the Moon and, Twenty Thousand Leagues Under the Sea would be good followups to 80 Days.

While not 18th century, you might consider Edgar Rice Burroughs' work, Tarzan, and John Carter of Mars books
Source(s):
wikipedia and personal books.

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Anything by Jack London.

_White Fang_
http://www.gutenberg.org/etext/910

and _The Call of the Wild_
http://www.gutenberg.org/etext/215 are good.

_Robinson Crusoe_ by Daniel Defoe
http://www.gutenberg.org/etext/521

Anything by Jules Verne I really enjoyed
_From the Earth to the Moon_
http://www.gutenberg.org/etext/83
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Harry Potter
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If you don't mind a few science fiction elements, Jules Verne wrote a number of classic adventure novels in the 19th century, including Journey to the Center of the Earth, From the Earth to the Moon, Twenty Thousand Leagues Under the Sea, The Mysterious Island. Plus, you can read a lot of his books for free on WikiSource:
http://en.wikisource.org/wiki/20,000_Leagues_Under_the_Sea
http://en.wikisource.org/wiki/From_the_Earth_to_the_Moon
http://en.wikisource.org/wiki/Journey_into_the_Interior_of_the_Earth
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Treasure Island- Robert Louis Stevenson
The Chronicles of Narnia- CS Lewis
The Neverending Story- Ralph Manheim
Source(s):
experience

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I really liked Rob Roy, by Sir Walter Scott, and King Solomon's Mines by H. Rider Haggard
Source(s):
Personal Opionion

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Some excellent Greek classics:

Homer: Odyssey
Homer: Iliad
Herman Melville: Moby Dick
Jospeh Conrad: Heart of Darkness
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The absolute, number one classic adventure novel is Gulliver's Travels by Jonathan Swift. Make sure you read the full version and not the shortened text for children. GT is essentially a sociological exploration in the guise of a thrilling - and humorous - adventure, and the novel defined the travel adventure genre as we know it.

Other 18th and 19th century classic adventure tales you may like:

The Adventures of Huckleberry Finn/Tom Sawyer - Mark Twain
Moby Dick - Herman Melville
Alice in Wonderland/Through the Looking Glass - Lewis Carroll (much more intense, scary and exciting than any movie version)
Heart of Darkness - Joseph Conrad (it doesn't get better than this for gritty adventure)
Any and all Charles Dickens, especially: Oliver, Nicholas Nickleby, David Copperfield, a Tale of Two Cities, The Pickwick Papers...
Ivanhoe - Sir Walter Scott
Frankenstein - Mary Shelley Wollstonecraft (it's not a horror - it's an adventure)
Journey to the Center of the Earth/20,000 Leagues Under the Sea - Jules Verne (awesome sci-fi adventures)
The Time Machine/Island of Dr. Moreau - H.G. Wells (more awesome sci-fi adventures)

If you want to get obscure and indulge in some real-life, historical adventure - get a hold of a copy of The Journals of Captain Cook. It was the burst of publications like this "captain's log" during the 18th century that spawned the travel-adventure genre.

Happy travels!
Source(s):
BA in English and American Literature, with a concentration in 18th Century Literature.

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Im going to make a recommendation that may not iummdiately seem like adventure and more mystery.. But The Adventures of Sherlock Holmes by Sir Arthur Conan Doyle, is so much fun to read. It's not really mystery because Holmes has it all figured out most of the time and you are tagging along for the adventure. Plus it is all short stories and a few novels, so you can read as little or as much as you want. The thing i like the best about it is the ongoing character. When you read a novel, if you really liked it, that character no longer exists anywhere. Sherlock Holmes is the most written about character in history. More people have written pastiches of him than anyone else so you never run out of stories even after exhausting the original canon. Plus you can read it all online because it's public domain.
Source(s):
http://ebooks.adelaide.edu.au/d/doyle/arthur_conan/

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Alexandre Dumas The count of Monte Cristo is very good
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In the last century this two authors produced some very good adventure books. Rudyard Kipling's "Jungle Book",is a classic in that Genre.It was written in the 19th Century in 1894 to be exact ,the author lived in colonial British India and its the Book that inspired movies like Tarzan.

Another of my favorites is by Ernst Miller Hemingway wartime correspondent and winner of the Nobel Prize for literature in 1954,he produced over 258 works many of which fall neatly into the category of adventure classics like"The Snow of Kilimanjaro and Other Stories".

But by far my favorite Adventure Author of the early 19th century was Jules Verne a French Man, who authored the following works 1. Journey to the centre of the earth(1864) 2.From The Earth To The Moon(1865) 3. Twenty Thousand Leagues Under The Sea (1870) and 4.Around the world In Eighty Days which was adopted into a movie starring Steve Coogan and Jackie Chan.This guy wrote adventures based on space,air and submarine travel,long before they were invented.Reffered to as the father of sci-fi.

Another Good author is Horace George Wells or simply H.G Wells he wrote books in the late 19th to early 20th century. Some notable ones being. 1.The Time Machine 2.The Invisible Man 3.The Island Of Doctor Moreau 4. War of The Worlds 5.When the sleeper wakes 6.First men on the Moon.

For more details check out the links below and read on,i'm sure you can get some good discounts on them from amazon or ebay if you intend to buy them.I sure hope this was helpful.
Source(s):
http://en.wikipedia.org/wiki/The_Jungle_Book
http://www.librarything.com/author/hemingwayernest
http://nobelprize.org/nobel_prizes/literature/laureates/1954/hemingway-bio....
http://en.wikipedia.org/wiki/Jules_Verne
http://www.imdb.com/title/tt0048960/
http://www.imdb.com/title/tt0327437/
http://en.wikipedia.org/wiki/H._G._Wells

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