packed to the gills
Completely packed; very full or crowded.
Near-synonym: stuffed to the gills
adj
Put into a package.
packed lunch
Filled with a large number or large quantity of something.
packed with goodness
[…] St. Bede's at this period of its history was perhaps the poorest and most miserable parish in the East End of London. Close-packed, crushed by the buttressed height of the railway viaduct, rendered airless by huge walls of factories, it at once banished lively interest from a stranger's mind and left only a dull oppression of the spirit.
Filled to capacity with people.
The bus was packed and I couldn't get on.
On a steamy summer late afternoon the Luzhniki was once again packed. It is a vast space, with a roof that almost closes in on itself capturing the air like a superheated bubble.