You'll find BrE and AmE pronunciations here.
I wanted to know the common pronunciation of "Phonics". Please advise.
Well, the vowels before +ic, +id, +ish get lightened. The lightened vowel is same as that you get in trisyllabic laxing.
Therefore, phonics = /ˈfɑnɪks/, variant /ˈfoʊnɪks/
1. analgesic, phonemic, basic, obesity, Polish: -lax
2. scenic, phonics: +/- lax
3. kinetic, polish, polish: +lax
L2 learners can stick with +lax variants in 2. There is nothing you can do with those in 1. That way, you can focus on the systematic nature of various pronunciations in English. Pickup dominant variations later, based on your fellow native speakers.