There is this wonderful collect when we're saying prayers that catches everything you might miss when you're thinking of specifics. It goes:
For All Sorts and Conditions
O God, the creator and preserver of all, we humbly beseech you for all sorts and conditions of people; that you would be pleased to make your ways known unto them, your saving health unto all nations. More especially we pray for your holy Church universal; that it may be so guided and governed by your good Spirit, that all who profess and call themselves Christians may be led into the way of truth, and hold the faith in unity of spirit, in the bond of peace, and in righteousness of life. Finally, we commend to your fatherly goodness all those who are in any ways afflicted or distressed, in mind, body, or estate; that it may please you to comfort and relieve them according to their several necessities, giving them patience under their sufferings, and a happy issue out of all their afflictions. And this we beg for Jesus Christ's sake. Amen.