Star Wars and Star Trek are completely different.
Star Trek started out as a television series that was so popular because it incorporated a multi-ethnic cast, inter-racial romances, religion, politics and adventure. It was actually very impressive for the time (even for now).
This is the order for the Star Trek Franchise:
TV SERIES:
Star Trek (The Original Series)
Star Trek: The Animated Series
Star Trek: The Next Generation
Star Trek: Deep Space Nine
Star Trek: Voyager
Star Trek: Enterprise (a prequel series to the Original series)
MOVIES:
Star Trek: The Motion Picture
Star Trek II: The Wrath of Khan
Star Trek III: The Search for Spock
Star Trek IV: The Voyage Home
Star Trek V: The Final Frontier
Star Trek VI: The Undiscovered Country
Star Trek: Generations
Star Trek: First Contact
Star Trek: Insurrection
Star Trek: Nemesis
Star Trek (2009) (A prequel to all these)
Star Wars was released in the 80s and a smash hit due to it's low budget, dramatic storyline (read:soap opera) and unique special effects. It is also very entertaining. The order of the films goes as follows:
ORIGINAL TRILOGY:
1977: Episode IV: A New Hope
1980: Episode V: The Empire Strikes Back
1983: Episode VI: Return Of The Jedi
PREQUEL TRILOGY:
1999: Episode I: The Phantom Menace
2002: Episode II: Attack Of The Clones
2005: Episode III: Revenge Of The Sith
OTHER:
2008: Star Wars The Clone Wars (Animated Movie)
I reccommend watching these movies in the original order (I think the originals are way better). However, if you want it to be chronological... then start with the prequels and then watch the originals.
hope that helps!