They had a big familiar argument.
They had a big family argument.
They were all very excited about the big familiar reunion.
They were all very excited about the big family reunion.
Use family before another noun to mean ‘relating to a family’: ‘He wasn’t used to family life.’
Familiar means ‘easy to recognise because you have seen, heard or experienced it before’: ‘I saw a few familiar faces in the class.’
Be familiar with something means to know it well: ‘I’m familiar with this area.’