noun
fragile article; breakables
Refers to items that can break easily, often used on packages or in warnings.
この箱には壊れ物が入っています。
This box contains fragile items.
引っ越しのときは壊れ物に注意してください。
Please be careful with breakables when moving.
noun
broken article
Refers to an item that is already broken. Less common than the 'fragile' sense.
壊れ物を修理に出す。
I send the broken item for repair.
割れ物 specifically refers to items that can crack or shatter (like glass or ceramics), while 壊れ物 is a broader term for anything that can break or be broken.
Compound of 壊れ (kowa-re, the continuative form of 壊れる 'to break') + 物 (mono 'thing').