A lot of the innovations and changes in US elections are the direct result of Bush v Gore, from the (ill-conceived) rush into pure-electronic voting, to modern optical scan balloting technology. You're right that Florida 2000 was fishy and super close, but I don't think it's all that much of a relevant example today. It's famous, but we've learned a lot in the last 25 years.

A better example of close elections and recount procedures is the literal tie that happened in a Virginia state legislature race in 2017. The attorneys were able to litigate the validity and intent of individual ballots in that race because they had the physical ballots, as well as the machine scans and logs. https://en.wikipedia.org/wiki/Virginia%27s_94th_House_of_Del...