Suggestions for Supreme Court cases post-2000 include notable decisions related to computer and copyright law, such as MGM Studios, Inc. v. Grokster, Ltd., which addresses issues of copyright infringement and digital distribution. Participants recommend selecting cases with ample available information to ensure a thorough analysis. The discussion emphasizes the importance of choosing cases that have had a significant impact on businesses or industries, highlighting the relevance of legal outcomes in shaping practices and policies.