"按年代顺序排列的" can be translated into English as "in chronological order" or "arranged in chronological sequence".
"In chronological order" is a commonly used phrase to describe items, events, or information that are arranged according to the order in which they occurred in time, from earliest to latest.
"Arranged in chronological sequence" is a slightly more formal or detailed way of expressing the same idea, emphasizing the arrangement aspect.
In most contexts, "in chronological order" would be sufficient and appropriate.