From wikipedia

A number of Supreme Court cases have dealt with the preemption of state laws by the Federal Arbitration Act:

• Marine Transit Corp. v. Dreyfus, 284 U.S. 263 (1932)
• Schoenamsgruber v. Hamburg American Line, 294 U.S. 454 (1935)
• The Anaconda v. American Sugar Refining Co., 322 U.S. 42 (1944)
• Wilko v. Swan, 346 U.S. 427 (1953): Reach of FAA does not extend to claims under Securities Act of 1933 due to anti-waiver provision in latter. Later overruled.
• Baltimore Contractors, Inc. v. Bodinger, 348 U.S. 176 (1955)
• Bernhardt v. Polygraphic Co. of America, 350 U.S. 198 (1956)
• Moseley v. Electronic & Missile Facilities, Inc., 374 U.S. 167 (1963)
• Prima Paint Corp. v. Flood & Conklin Manufacturing Co., 388 U.S. 395 (1967): An arbitrator must decide the validity of a contract containing an arbitration provision unless the arbitration clause itself is being challenged, even in cases such as when the contract was allegedly fraudulently induced.
• Commonwealth Coatings Corp. v. Continental Casualty Co., 393 U.S. 145 (1968)
• Scherk v. Alberto-Culver Co., 417 U.S. 506 (1974)
• Moses H. Cone Memorial Hospital v. Mercury Construction Corp., 460 U.S. 1 (1983) Federal Arbitration Act (FAA) enacted a strong national policy favoring arbitration, therefore doubts about its applicability are to be resolved in favor of arbitration.
• Southland Corp. v. Keating, 465 U.S. 1 (1984): FAA preempts state law.
• Dean Witter Reynolds Inc. v. Byrd, 470 U.S. 213 (1985). FAA requires that parallel state and federal claims be bifurcated when federal claims are non-arbitrable but state claims are.
• Mitsubishi Motors Corp. v. Soler Chrysler-Plymouth, Inc., 473 U.S. 614 (1985). Sherman Act claims are arbitrable, even when contract calls for arbitration before a foreign panel.
• Shearson/American Express Inc. v. McMahon, 482 U.S. 220 (1987). Securities fraud claims under the Securities Exchange Act of 1934 are arbitrable.
• Perry v. Thomas, 482 U.S. 483 (1987)
• Volt Inf. Sciences v. Stanford Univ., 489 U.S. 468 (1989)
• Rodriguez de Quijas v. Shearson/American Express Inc., 490 U.S. 477 (1989) Securities fraud claims under the Securities Act of 1933 are also arbitrable; Wilko v. Swan overturned.
• Gilmer v. Interstate/Johnson Lane Corp., 500 U.S. 20 (1991): Statutory claims, such as under the Age Discrimination in Employment Act, are subject to arbitration.
• Graham Oil v. ARCO Products Co., 43 F. 3d 1244 (9th Cir. 1994): Agreement to arbitrate statutory claims is not valid when clause prohibits awards of exemplary damages and attorney's fees provided for by statute.
• Allied-Bruce Terminix Cos. v. Dobson, 513 U.S. 265 (1995): FAA requirement that contract involve interstate commerce is to be broadly construed.
• Mastrobuono v. Shearson Lehman Hutton, Inc., 514 U.S. 52 (1995)
• First Options of Chicago, Inc. v. Kaplan, 514 U.S. 938 (1995): Judicial review of arbitrability of contract is properly permitted when parties have not clearly agreed that arbitrator will decide question.
• Vimar Seguros Y Reaseguros, SA v. M/V Sky Reefer, 515 U.S. 528 (1995)
• Doctor's Associates, Inc. v. Casarotto, 517 U.S. 681 (1996): Montana law requiring disclosure of arbitration clauses to be "typed in underlined capital letters on the first page of the contract" preempted by FAA;^[11] however, upheld authority of courts to refuse to enforce arbitration clauses on grounds of "generally applicable contract defenses, such as fraud, duress, or unconscionability"^[12]
• Quackenbush v. Allstate Ins. Co., 517 U.S. 706 (1996)
• Cole v. Burns International Security Services, 105 F. 3d 1465 (D.C. Cir. 1997): Employees forced to sign arbitration clause as condition of employment cannot be forced to pay any type of fees that a court does not require, such as arbitrator's fees.
• Cortez Byrd Chips, Inc. v. Bill Harbert Constr. Co., 529 U.S. 193 (2000)
• Eastern Associated Coal Corp. v. United Mine Workers of America, 531 U.S. 57 (2000)
• Green Tree Financial Corp.-Ala. v. Randolph, 531 U.S. 79 (2000): Mere speculation that the party resisting arbitration "will be saddled with prohibitive costs is too speculative to justify the invalidation of an arbitration agreement."^[13]
• Circuit City Stores, Inc. v. Adams, 532 U.S. 105 (2001)
• C & L Enterprises, Inc. v. Citizen Band, Potawatomi Indian Tribe of Oklahoma, 532 U.S. 411 (2001): Consenting to arbitration constitutes a waiver of sovereign immunity.
• Major League Baseball Players Assn. v. Garvey, 532 U.S. 504 (2001)
• EEOC v. Waffle House, Inc., 534 U.S. 279 (2002)
• Howsam v. Dean Witter Reynolds, Inc., 537 U.S. 79 (2002)
• PacifiCare Health Systems, Inc. v. Book, 538 U.S. 401 (2003)
• Citizens Bank v. Alafabco, Inc., 539 U.S. 52 (2003)
• Green Tree Financial Corp. v. Bazzle, 539 U.S. 444 (2003)
• Buckeye Check Cashing, Inc. v. Cardegna, 546 U.S. 440 (2006): Refines Prima Paint by holding that an arbitrator must decide if a contractual provision other than the arbitration clause renders the entire contract invalid.
• Preston v. Ferrer, 552 U.S. 346 (2008): The FAA preempts state laws declaring that certain disputes must be resolved by a state administrative agency.
• Hall Street Associates, L.L.C. v. Mattel, Inc., 552 U.S. 576 (2008): 9 U.S.C. §§ 10 and 11 are absolutely exclusive as grounds for fighting the confirmation of an arbitration award and cannot be expanded by court rulings or contracting parties.
• Vaden v. Discover Bank, 556 U.S. 49 (2009)
• 14 Penn Plaza LLC v. Pyett, 556 U.S. 247 (2009)
• Arthur Andersen LLP v. Carlisle, 556 U.S. 624 (2009)
• Stolt-Nielsen S. A. v. AnimalFeeds Int'l Corp., 559 U.S. 662 (2010)
• Rent-A-Center, West, Inc. v. Jackson, 561 U.S. 63 (2010): A court must decide whether or not an arbitration clause is unconscionable, even if the contract unequivocally states that the arbitrator must make that decision.
• Granite Rock Co. v. Teamsters, 561 U.S. 287 (2010)
• AT&T Mobility LLC v. Concepcion, 563 U.S. 333 (2011): Arbitration agreements that forbid class action arbitration are enforceable, notwithstanding California's "Discover Bank Rule."
• KPMG LLP v. Cocchi, 565 U.S. 18 (2011)
• CompuCredit Corp. v. Greenwood, 565 U.S. 95 (2012)
• Marmet Health Care Center, Inc. v. Brown, 565 U.S. 530 (2012)
• Nitro-Lift Technologies, L. L. C. v. Howard, 568 U.S. 17 (2012)
• Oxford Health Plans LLC v. Sutter, 569 U.S. 564 (2013)
• Am. Express Co. v. Italian Colors Rest., 570 U.S. 228 (2013)
• DIRECTV, Inc. v. Imburgia, No. 14-462, 577 U.S. ___ (2015)
• Kindred Nursing Centers, L. P. v. Clark, No. 16-32, 581 U.S. ___ (2017)
• Epic Systems Corp. v. Lewis, No. 16-285, 584 U.S. ___ (2018)
• Henry Schein, Inc. v. Archer & White Sales, Inc., No. 17-1272, 586 U.S. ___ (2019)
• New Prime Inc. v. Oliveira, No. 17-340, 586 U.S. ___ (2019)
• Lamps Plus, Inc. v. Varela, No. 17-988, 587 U.S. ___ (2019)
• GE Energy Power Conversion France SAS v. Outokumpu Stainless USA, LLC, No. 18-1048, 590 U.S. ___ (2020)
• Henry Schein, Inc. v. Archer & White Sales, Inc., No. 19-963, 592 U.S. ___ (2021)
• Badgerow v. Walters, No. 20-1143, 596 U.S. ___ (2022)
• Morgan v. Sundance, Inc., No. 21-328, 596 U.S. ___ (2022)
• Southwest Airlines Co. v. Saxon, No. 21-309, 596 U.S. ___ (2022)
• ZF Automotive U. S., Inc. v. Luxshare, Ltd., No. 21-401, 596 U.S. ___ (2022)
• Viking River Cruises, Inc. v. Moriana, No. 20-1573, 596 U.S. ___ (2022)
• Coinbase, Inc. v. Bielski, No. 22-105, 599 U.S. ___ (2023)