There are several companies that allow you to have your own email space completely free. The most common are Google (gmail), Yahoo (yahoo mail). Which one you choose will depend entirely on your own preference.
Create a gmail account.
1. Go to www.hotmail.com
2. From the top right, click Gmail
3. Select "Create Account"
4. Fill in all the necessary fields in the form. 
- Give your name and surname.
- In the user name field, type the email you want to have eg. "Foititis@gmail.com".
- In the "Password" field, enter the secret code to enter your account. Note these items in a safe place so that you can remember them if you forget them.
- In the image that appears with the characters, you type in the empty box the characters you see, just as you see them (uppercase and lowercase). Do not leave a blank space between the words. If the Characters do not look good, press the circular arrow located right down "Get a new challenge" to show other characters.
(For how many characters and who you can use, read the labels that will appear when you click on this field).
- The Birth Date field is mandatory but you can not enter the true date if you do not want it.
- The Gender field is mandatory to be filled in.
- The phone number is not required to be filled in.
- Your current email address, fill in an email account if you have one.
- Select the country eg. Hellas
- Click the "Agree to Terms of Service" checkbox
5. Select "Next Step" ... ..and your account is ready !!!
Create Yahoo! Account
1. Go to gr.yahoo.com
2. From the left menu, press mail (is the first option)
3. From the box on the left, click on "Create new account"
4. Fill in the form that appears to you 
- In the name and surname fields you are given your details, you can not give your real ones.
- Yahoo! user name : e.g. foititis@yahoo.gr (you choose the mail)
- Password: you select the personal password so that you can enter your mail. Do not forget to note it in a safe place so that you can be remembered if you forget it.
- Mobile phone number: You give your phone number so you can retrieve your password if you forget it.
5. Finally, select "Create Account"
And Yahoo! Your email was successful !!
Generally, remember that to create an email the way is down there itself in whichever company you decide to create it.