Synonyms:

old

of long duration; not new

aged

at an advanced stage of erosion (pronounced as one syllable)

attrited

worn by rubbing or friction

battered

damaged especially by hard usage

clapped out

worn from age or heavy use and no longer able to operate (of cars or machines or people)

creaky, decrepit, derelict, flea-bitten, run-down, woebegone

worn and broken down by hard use

dog-eared, eared

worn or shabby from overuse or (of pages) from having corners turned down

eroded, scoured

worn away as by water or ice or wind

frayed

worn away or tattered along the edges

mangey, mangy

having many worn or threadbare spots in the nap

moth-eaten, mothy

worn or eaten away by (or as if by) moths

played out

worn out

ragged, raggedy

being or dressed in clothes that are worn or torn

raddled, worn-out

used until no longer useful

moth-eaten, raggedy, ratty, shabby, tatty

showing signs of wear and tear

scruffy, seedy

shabby and untidy

shopsoiled, shopworn

worn or faded from being on display in a store

tatterdemalion, tattered

worn to shreds; or wearing torn or ragged clothing

threadbare

having the nap worn away so that the threads show through

thumbed

(of pages) worn or soiled by thumb and fingers by frequent handling or turning

vermiculate, worm-eaten, wormy

infested with or damaged (as if eaten) by worms

waterworn

(of rocks especially) worn smooth by the action of water

weather-beaten, weathered, weatherworn

worn by exposure to the weather

well-worn

showing signs of much wear or use

synonyms: careworn, drawn, haggard, raddled

tired

depleted of strength or energy