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The pronunciation of any word in English (or any language at all) is not Universal.  This is because there are many different dialects of The English Language — both throughout America, and also world-wide.  The pronunciations that are presented on GiveMeSomeEnglish!!! are based-upon a combination of both “common usage”, and the most neutral accent used in The International Common Tongue — a.k.a. “American English”.
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Anniversary – For this word:  the “A” is short;  the “nn” combination is pronounced simply like the single letter “n” (this is the standard pronunciation of this letter combination in The Common Tongue);  the “i” turns into a true-schwa;  the “e” disappears;  and for the “-ary” suffix – the “a” turns into a true-schwa, and the final “y” is pronounced like the long letter “e” (this is NOT the standard pronunciation of this suffix in The Common Tongue).

– /æn-ə-V’R-sə-ree/ – /æn.ə.ˈvɚ.sə.ɹiː/ – Notice also that the stress is on the third syllable –

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Learn More About The Word “Anniversary” On Wiktionary

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