RetroGaming

Battery tech has improved a lot since they came out and (at least for the other two systems mentioned, plus any other device I've replaced the battery for) you can often find batteries with better specs than the original for longer lasting (before recharge is required, can't say yet about total lifetime).

It's also not a bad idea to check if your batteries have become danger pillows, though the controller ones tend to be housed in hard plastic that makes it less obvious, but my wii u battery did feel like it had a bit of a bulge to it, leading to a nervous period where I had gotten rid of the old battery but was still waiting for the new one to be shipped lol.