Out in Svalbard there is a seed bank, buried in the permafrost. The idea is that it will serve as a refuge for plant species that may vanish elsewhere, perhaps because industrial monocrops (fields where only a single species is intentionally cultivated by industrial means) continue to expand as the key element of modern agriculture.
Perhaps there should be a scientific and conservational project to collect just the genes of some of the great many species our species is putting into peril: everything from primates to mycorrhizal fungi to marine bacteria. The data could be stored, and maybe put to use at some distant point where humanity at large decides that it is better to carefully revive species than to indifferently exterminate them.
For many creatures, the genes alone won’t really be enough, regardless of how good at cloning we become. An elephant or a chimp built up alone from cells would never really become and elephant or chimp as they exist today. Whether those alive now are socialized in a natural or an artificial environment, they will have had some context-sensitive socialization, which subsequently affected their mental life. It is plausible to say that elephants or chimps raised among their peers, living in the way they did thousands of years ago, will develop mentally in a manner that is profoundly different from elephants or chimps in captivity today, much less solitary cloned beings in the future. Those beings will be weird social misfit representatives of those species.
Still, it is better to have misfits than nothing at all. If there is anything human beings should really devote themselves to backing up with a cautious eye turned towards an uncertain future, it seems far more likely to be the genes of species our descendants may not be fortunate enough to know than the Hollywood movies that probably account for a significant proportion of all the world’s hard drives.