Family prayer was a great way for us to learn to pray aloud. Our parents could use them as teaching moments in how to say prayers, as well. They might point out if we were rushing, or using vain repetitions. Things said in prayers might include safety throughout the day, direction for choices we are making as individuals or a family, help for a particular family member in something they have going on in their life. There is something about hearing a family member pray for you that lets you feel loved like nothing else can.
We would also pray for things related to our community, our ward (i.e., church congregation), our nation, and the world. Anything that affected our family whether big or small, locally or further abroad, it might be included in our family prayers. Gratitude and guidance were always a part of these prayers. But no matter what was said or prayed about, our family was blessed with the power of love, guidance, and protection because we prayed together every day.
I have been a family of one for 14 years. I miss family prayers with a larger gathering. Always a joy for me when I am included in the prayers of my friends' and family members' families. And I have enjoyed occasional Roommate Prayer. But I can still have Family Prayer with just me and still receive the same blessings. I'll just keep looking forward to when my family prayers will have more than one person involved.