From this link (provided by @KAJ226's comment in this question), it appears as though current error correction methods are not enough to get practical speedup out of algorithms that have quadratic speedups (before taking error correction into account).
In another post, I showed a chart of speedups of different machine learning algorithms. All of these algorithms do not have quartic or higher speedups (and therefore will not be practical with error correction).
Is there a list of practical algorithms that have quartic or higher speedup? I found one such list called the quantum zoo, but it only provides if a given algorithm is "polynomial" or "superpolynomial." Also it doesn't seem very up-to-date and the impact or practicality of these algorithms is not mentioned (a lot of these seem useless or are very vague).