To get on a bus,train,ship

Get on : bus,train,plane,ship,bicycle

- When they saw me, they got on their bikes and rode off quickly.
- My father will get on the plane at 7'oclock.
- You can get on this bus to go to the down town.

Get in/into: small vehicle : car,boat

- They got in a taxi and went to my work immediately.
- Yesterday when I was getting into a boat, I almost fell off the river.

Board:(formal) train,plane,ship,boat

- At London airport, we boarded a plane to Australia.
- A week later a bounded a ship bound for NewYork.

On board: train,plane, ship

- A light plane with four people on board crashed last night.
- They will get on board the ship at eight o'clock tomorrow.
- Smoking is not permitted on board aircraft nor other public transport.

Aboard: train,ship,plane.

- Reporters were not allowed to go aboard.
- Ships with unfurled sails wait to take them aboard.
- He was aboard an aircraft which took cereal,drug and cooking oil to London yesterday.
- He fled the country aboard a US Air Force plane.
- It has taken two hours to load all the people aboard.
- Nobody is allowed aboard the plane without a security check.
- The boat swayed as he stepped aboard.
- She invited 750 people aboard a luxury ship.

Notice that a board and on board are adverb and can be associated with verbs such as:get,go,come,step,take and etc.

Learner's common errors
1-Don't use of after on board you cannot say: They are on board of the plane.

2-It is wrong to use into after board: The pupils boarded into the bus.

3-When writing the word on board ,notice the space between on and board:onboard is incorrect.

4-You can use ON for on board or aboard in many contexts:
While I was on board/aboard the plane, I slept.= While I was on the plane, I slept.

5-To call everyone to get on the ship/bus you say : All on board
When you want to say that we can depart now, everyone is on the ship, you say : All are on board

6-You can use be,go,get with aboard,the more common colloquial form is the first:
- I've never been aboard a canoe.
- I've never gone aboard a canoe.
- I've never gotten aboard a canoe.

Mount: Bicycle,horse

- She mounted her horse and rode off/away.
- A man in a crash helmet was mounting a motorbike.

Embark: ( formal) ship

- I saw her embarking the ship.
- We embarked at Liverpool for New York.

Stopping a vehicle by the road

To park a car somewhere
A general word to mean stopping a car or a vehicle someplace:

- when I came back, a police car was parked in front of my truck.
- Driving up to London, I saw many cars parked at the side the road.

To pull in somewhere
1.To stop the car in a specific area.

- The police car pulled in behind me .
- Jeff parked in front of the house and I pulled in beside him.

2.To move towards the curb into a lay-by.

- I Pulled in to the parking lot.
- He pulled into the garage.

To pull over somewhere
To drive to the side of the road
1- because you suddenly need to stop.

- I pulled over,unable to stop myself from going to sleep.
- Hearing noises from the engine,he pulled over to see what's wrong with it.

2- because you have been told to stop, for example by the police.

- We got pulled over for speeding.
- The police pulled him over for speeding.

3-to let another car or vehicle pass.

- The car pulled over when the ambulance approached at high speed.
- A car came at high speed behind me and flashed me to pull over .

To pull off the road
To stop the vehicle at the side of the road.

- I pulled off the road at a small village pub.
- One evening,crossing a small creek,he pulled the car off the road.

To pull up somewhere
To stop a car somewhere often for a short time.

- I pulled up my car in front of a house to go shopping and came back half an hour later.
- We pulled up outside a shop,bought drinks and drove on.

Moving someone to somewhere by a vehicle

In English ,there are different ways that someone can use to say how he or she moved someone freely by a vehicle to a place:

1- To give someone a ride to somewhere
An expression which is more commonly used in the U.S.

- He gave me a ride to the airport.
- My brother gave me a ride to my house on his motorcycle.

2-To drive someone to somewhere
It is used in both American and British versions.

- Her daughter drove me to the airport.

3-To take someone to a place
It is also common in both American and British versions with a subtle difference in meaning.It mostly means she/he accompanied me to the station/airport....For example, if I didn't know where the station was he could have gone with me on the bus.

- His brother took me to the airport.

4-To give someone a lift to a place
It is more common in the British dialect ,though it is used in the U.S. less commonly.

- He had a car and gave/offered me a lift to the airport/a lift home.

5-To run someone to somewhere
An informal expression which is used in the British dialect.

-Would you mind running me to the station?

The five expressions suggest a brief journey, often provided as a favor. The destination would usually be a building or amenity, rather than a town, etc.
For longer journeys, you can add "down" and "up",to "run" depending on the geographical relation:

1. My cousin ran me down the river last week.
2. He thought I would run him up to New york.

For journeys between nearby residences, offices, etc., you can use "run over":

3. I was going to run them over to the museum.
4. Why didn't you run your brother over to his work?

So, all of them have the same meaning except took which doesn't (necessarily) specify that a car was involved - though it may have been.