On the day of a anniversary, if someone feels like having an anniversary, the husband and wife should commit to each other that they would behave according to the sunnah, and two focus one's marriage if it is going according to Islam or not. How much respect do we give to each other's rights, and what was done according to Islamic requirement for the children.

And if we are doing it in the same manner as the non-Muslims, to bring a cake and call friends, and gift exchange. The way the husband and wife show there love to each other on the day of the anniversary, what is stopping them from showing there love each and every day.

Do not follow the non-believers and media to have an excuse to make sure there business are running in the name of anniversaries and birthdays. These are all business gimmicks. Never do anything which our Prophet and his companions never done. 

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(To) Those whose eyes had been under a covering from My Reminder (this Qur'ân), and who could not bear to hear (it). (18:101)

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And who does more wrong than he who is reminded of the Ayât (proofs, evidences, verses, lessons, signs, revelations, etc.) of his Lord, but turns away from them forgetting what (deeds) his hands have sent forth. Truly, We have set veils over their hearts lest they should understand this (the Qur'ân), and in their ears, deafness. And if you (O Muhammad SAW) call them to guidance, even then they will never be guided. (18:57)

The manners and the lifestyle of a Muslim should be according to Islam, so one should die in a state of Iman, and not as non-believer.

Stop following the footsteps of a Kaafir (non-believers) in order not to be treated as them on the day of resurrection.

Our beloved Prophet (SAW) said: "Who imitates any other nation must be one of them." (Abu Dawud)