I can't log into any sights on phone and Google want to send me verification on old sim which is no longer in use

Nice to meet you, *****!
What troubleshooting have you done so far?

Have you tried the Forgot Password option?

Let's try to do the next thing:

1. Go to the page https://accounts.google.com/signin/recovery
2. Enter the email, then click "Next".
3. Instead of entering your password, click "Try another way"
4. Enter the phone number.
5. Choose the option "Send a code".
6. If you don't have access to the phone number, please choose the option "Try another way" and follow the on-screen instructions.

What happens, when you put the Try Another Way option?

As I know, after you put the try another way option after it is asking you to get a code on your old phone, it has another option to try out.
Can you, please, try to do that?

Yes, please. That would be helpful from your side.

Thank you!
Now, choose the option to change your phone, that you need.

As far as I can see, you are using an Android phone.
So, click on the Set your Android phone  (option 1)

Good.
Try to do that, please.

As far as I can see, on your screenshot, you have the option to change your phone number to your new one. Please, tap on the Set your Android phone (option 1)

Sure! Take your time.

Can you try to sign in to the web version of your Gmail account?

Yes, please.

keep me posted.

I see.
So, no verification code tab to put it in, correct?

I see. I am glad, that you can get into your profile.