These animals have been marking time largely unaware of all the ups and downs and intrigues of humanity. And stories about them often have more to do with the way people perceive them than the animals themselves. 
Research:

Butler, Paul G. et al. “Variability of marine climate on the North Icelandic Shelf in a 1357-year proxy archive based on growth increments in the bivalve Arctica islandica.” Palaeogeography, Palaeoclimatology, Palaeoecology. Volume 373, 2013. Pages 141-151. https://doi.org/10.1016/j.palaeo.2012.01.016.
Barber, Elizabeth. “Scientists discover world's oldest clam, killing it in the process.” Christian Science Monitor. Nov. 15, 2013. https://www.csmonitor.com/Science/2013/1115/Scientists-discover-world-s-oldest-clam-killing-it-in-the-process
Binns, Daniel. “Blungling Scientists Kill World’s Oldest Creature – a Clam – After 507 Years in Sea.” Metro UK. Nov. 13, 2013. https://metro.co.uk/2013/11/13/bungling-scientists-kill-worlds-oldest-creature-a-clam-after-507-years-in-sea-4185580/
Brix, Lise. “New record: World’s oldest animal is 507 years old.” Science Nordic. Nov. 6, 2013. https://sciencenordic.com/ageing-denmark-geochemistry/new-record-worlds-oldest-animal-is-507-years-old/1392743
Free, Cathy. “The world’s oldest living land animal? At age 190, it’s Jonathan the tortoise.” The Washington Post. January 30, 2022. https://www.washingtonpost.com/lifestyle/2022/01/31/oldest-animal-tortoise-jonathan-/https://www.washingtonpost.com/lifestyle/2022/01/31/oldest-animal-tortoise-jonathan-/
“Daughter Scotches Churchill Parrot Claim.” BBC. Jan. 21, 2004. http://news.bbc.co.uk/2/hi/uk_news/england/3417353.stm
Elliot, Danielle. “Ming the Clam, World’s Oldest Animal, Was Actually 507 Years Old.” CBS News. Nov. 14, 2013. https://www.cbsnews.com/news/ming-the-clam-worlds-oldest-animal-was-actually-507-years-old/
Farrar, Steve. “Ming the Mollusk Holds Secret to Long Life.” The Times. October 28, 2007. https://www.thetimes.co.uk/article/ming-the-mollusc-holds-secret-to-long-life-mfcvbtxl6gr
Gamillo, Elizabeth. “At 190, Jonathan the Tortoise Is the World’s Oldest. Smithsonian. Feb. 4, 2022. https://www.smithsonianmag.com/smart-news/at-190-jonathan-the-tortoise-is-the-worlds-oldest-living-land-animal-180979514/
Holmes, Anna. “Meet Ming the Clam – the Oldest Animal in the World!” Amgueddfa Blog. Feb. 11, 2020. https://museum.wales/blog/2122/Meet-Ming-the-clam---the-oldest-animal-in-the-world/#:~:text=At%20507%20years%20the%20Ocean,together%20as%20a%20collective%20form.·       “In A Flap Over 'Churchill's' Old Bird.” SkyNews. Jan. 20, 2004. https://web.archive.org/web/20091204165346/http://news.sky.com/skynews/Home/Sky-News-Archive/Article/20080641119993
Kolirin, Lianne. “Meet 190-year-old Jonathan, the world’s oldest-ever tortoise.” CNN. Jan. 26, 2022. https://www.cnn.com/travel/article/oldest-tortoise-jonathan-scli-intl-scn/index.html
“Historic Tortoise.” The Jersey Journal. June 28, 1968. https://www.newspapers.com/image/908625184/?terms=%22tortoise%20st.%20helena%22%20&match=1
“How are seashells made?” Woods Hole Oceanographic Institute. https://www.whoi.edu/know-your-ocean/did-you-know/how-are-seashells-made
“Jonathan at 140 Looks to the Future.” The Kansas City Times. Aug. 20, 1969. https://www.newspapers.com/image/675666450/?terms=%22tortoise%20st.%20helena%22%20&match=1
Lyall, Sarah. “Reigate Journal; Parrot May Have Been Churchill's, but She's Not Saying.” New York Times. March 9, 2004. https://www.nytimes.com/2004/03/09/world/reigate-journal-parrot-may-have-been-churchill-s-but-she-s-not-saying.html
Madden, Chris. “Having a chat with Churchill's parrot and - at 114-years-old - one of Reigate's oldest residents.” Surrey Live. Aug. 26, 2014. https://www.getsurrey.co.uk/news/local-news/having-chat-churchills-parrot-114-13642592
Triesman, Rachel. “Jonathan, the world’s oldest tortoise, marks his 190th with fanfare and salad cake.” NPR. Dec. 7, 2022. https://www.npr.org/2022/12/07/1141180557/jonathan-tortoise-birthday-190
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