Which MacBook Air models use an SSD compatible with my mid-2013 11" A1465?

This web article gives everything you every wanted to know about Apple SSDs. https://beetstech.com/blog/apple-proprietary-ssd-ultimate-guide-to-specs-and-upgrades

Your model came with an Apple "Generation 3" SSD, used in Mid-2013 to Late 2014 models*, with a 12+16 pin connector; but it can take the faster 'Generation 4' modules found in 2015 Macs. Gen 4 modules are identifiable by the code SSUBX.

( * The Mid-2015 iMac is a Gen 3 outlier.)

Note that there are now third-party modules, made by companies like OWC, which claim to be faster than the OEM parts.