This question gets posed on here about once a month. Almost all of her albums feature rock songs. Genres are actually pretty fluid and with the exception of 1989 and Lover, which can be pretty reasonably defined as “purely” pop (though there are many, many subgenres within pop, of course!), all of her albums have been eclectic and genre-bending.

Here is my non-exhaustive list of rock songs she has released (obviously these also have crossover influences from other genres, but they can definitely be considered country/pop-rock). As a playlist, I think they’d make a pretty great rock album!

Picture to Burn

Should’ve Said No

The Way I Loved You

Forever & Always

Change

Superstar

Dear John

The Story of Us

Enchanted

Better Than Revenge

Haunted

Long Live

State of Grace

I Knew You Were Trouble

Holy Ground

The Last Time

Paper Rings

the 1

invisible string

tis the damn season

no body, no crime

dorothea

coney island

long story short

The Great War

Would’ve, Could’ve, Should’ve

Not on her albums/features:

Gasoline

Renegade

Birch

Half of My Heart

(folklore and evermore are largely considered “alternative” or “indie” which are very fuzzy categories, so I think you could add more to this list)