In somehow, you need to monitor your login access to your facebook account, you can find them directly in your account’s setting security section as following.

– Login to your account
– Go to your account’s settings
– Security

Or you can follow this link directly: https://www.facebook.com/settings?tab=security§ion=sessions&view

There are few session history listed over there.

I could not find the history by each year.

Here is some example.

facebook-login-history-log

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Reference: Facebook Support: 1 & 2