Here is a summary I wrote for a novice traveller of mine who will be landing at YYZ soon. Most of it applies elsewhere as well:
The airport is designed for people who have never been there before and can’t read signs in the local language. Since you can read English, you should be fine in just about every airport in the world. Just stay calm and unhurried and follow the signs, as well as directions from uniformed people who tell you which way to go, when to wait, and so on.
There are really plenty of variations but the main events are: Exiting the plane, leaving the secure terminal area, immigration, baggage claim and customs. The order of the last steps vary by location but it is difficult to go wrong. Signs indicate the way at each step plus doors and guard ensure that passengers do not do the wrong thing accidentally or intentionally. Once you leave an area, you cannot backtrack.
There are indeed a few steps but they are usually easy to follow because the majority of passengers have to go through the same steps and the order is dictated by the policies of the airport at which you are arriving.
If something goes wrong, notify an official immediately before proceeding the the next area. Should your luggage not arrive, for example, you usually have to fill out a form before proceeding to customs. At customs you will have to mention this to them because you will probably return to collect your stuff once the airport contacts you when your belongings are located. In some cases, they will send them via courier but that is usually the exception.
Once you have cleared all the necessary steps, you will need to locate transport to your destination, unless someone is picking you up. In any case, I recommend two more steps before leaving the airport: Use an ATM to get local currency, Pick up complementary maps and guides to the area.
Adddendum
As comments mention, you will often be supplied the customs form on the plane so you you can fill it in advance, which you should as it saves time later. They will also sometimes give you a different form based on your nationality. Citizens of the arriving country or countries allied with it (EU or Andean for sample) get one form and the rest get another. When there is one form, there will usually be sections to fill out for arriving nationals and tourists, plus common ones.
Having to pass immigration and customs is not universal, sometimes they are done in a single step too. The most common reason to skip those steps though is to have done them before. This usually happens if the last leg of your journey is domestic. For example, when flying to Galapagos (Ecuador) from another country, you will usually land in Guayaquil or Quito, do immigration and customs there and then switch planes for your final leg. A few places have such traffic between countries that you do immigration on departure, this happens when travelling from Montreal (Canada) to the the USA and from Nassau (Bahamas) to the USA. Probably other places do this too but those are the ones I’ve seen.
Each country is a bit different, so letting folks know where you are leaving from and going to would help get a more specific answer.
In general when you get off the plane, you follow the crowds to immigration and do whatever procedures they require, then go claim your checked bags if any, then go through customs and do whatever procedures they require, then you enter the public arrivals hall and get swarmed by touts.
Some countries stick a health desk in the middle somewhere.
Once you get off the plane, you’ll follow the sign to Arrivals; sometimes it will also say Baggage Claim.
You will get in line with everyone else at the immigration counter. There, the officers will check your passport and/or your visa for validity. They may also ask you questions as to the purpose and nature of your visit.
Once they are satisfied with your documents, they will stamp your passport with an entry stamp. This marks your legal entry into the country.
After that step, you have cleared immigration – next you have to collect your luggage and go through customs control. Customs is where they check your luggage and items to make sure you aren’t carrying any restricted or forbidden items.
Once you pass customs – you have arrived at your destination country.
Credit:stackoverflow.com‘