Grammatically Correct

Said

He said. She said. They said.
Said is an overused word to show that someone has spoken and as it is well known, there are many ways to say something.

I highly suggest using multiple words for speaking because it helps for readers to visualize and know the character's mood or actions.

Some words are on both sections of descriptive and action because they could be used both ways. (Even some that I didn't put on both could be both)

Vocal Describers:
Announced
Accused
Assured
Apologized
Addressed
Asked
Advised
Answered
Added
Agreed
Argued
Began
Begged
Butted-in
Countered
Croaked
Complained
Corrected
Cheered
Cried
Cautioned
Commented
Complained
Declared
Dismissed
Demanded
Denied
Decided
Exclaimed
Encouraged
Echoed
Finished
Fumbled
Fumed
Greeted
Grinned
Gulped
Grumbled
Groaned
Giggled
Gasped
Guessed
Hissed
Hesitated
Hollered
Indicated
Informed
Interrupted
Insisted
Instructed
Laughed
Muttered
Moaned
Mumbled
Murmured
Mentioned
Noticed
Offered
Observed
Objected
Panted
Pondered
Panicked
Puzzled
Protested
Pressed
Piped up
Pleaded
Pardoned
Proclaimed
Questioned
Rambled
Returned
Repeated
Responded
Retorted
Released
Requested
Slurred
Snorted
Spoke
Stormed
Sang
Shouted
Screamed
Squeaked
Squealed
Scolded
Sighed
Stated
Suggested
Spluttered
Snapped
Snarled
Stressed
Stammered
Sobbed
Sniffed
Shrieked
Threatened
Teased
Taunted
Tested
Urged
Uttered
Wondered
Worried
Whined
Warned
Whispered
Winced
Wailed
Yelled
Noted
Inputted
Gushed
Translated
Promised
Mimicked
Imitated
Quizzed
Stuttered
Rebutted
Blurted
Yelped
Hushed

Action words:
Addressed
Argued
Countered
Frowned
Fidgeted
Grinned
Gasped
Hoped
Laughed
Nodded
Noticed
Observed
Released
Sneered
Smirked
Snorted
Stared
Smiled
Stormed
Shuddered
Sighed
Spluttered
Sobbed
Sniffed
Winked
Worried
Winced
Translated
Promised
Tested

If you've got more, let me know and I'll add them in.