Planet of the Apes (1968)

A ship in space, Colonel George Taylor (Charlton Heston) is at the controls. Hes making a log entry about the journey so far. Although nearly 6 months out from Earth; they have travelled 700 years into the future due to their faster than light speed.
Taylor takes an injection and returns to a stasis chamber to wait out the rest of the voyage. As he sleeps the ship continues on before encountering a planet and crashes into a lake. The ship awakens the crew, who immediately realize their situation. One of the four has died in stasis.
Suddenly one of the bulkheads collapses and the ship begins to sink. The remaining three crewmen scramble to escape after being unsuccessful in sending a message to Earth. As Taylor leaves the ship he sees the ships clock showing the year as 3978. They have been in space for 2000 years.
The three men Taylor, Landon (Robert Gunner), Dodge (Jeff Burton) take to a raft and begin paddling along the shoreline looking for a safe place to camp. Taylor surmises that they are some 320 light years from Earth on a planet orbiting a star in Orion. Landon calls him out on this information claiming Taylor didnt have enough time to read the tapes.
Coming ashore they take stock of their situation, they have food and water for three days and a handgun. Taylor tells the others about the clocks and proof they offer about the theory of relativity. Landon stops to plant an American flag before moving off.
They begin their journey in rocky desert, around them unseen figures move across the cliff tops watching their progress. Slowly the country changes and stray vegetation is seen. Passing an out crop they see wooden crosses planted in the ground. Evidence something intelligent lives on the planet.