Software Wallets
Desktop, mobile and browser wallets for holding Bitcoin yourself, including Lightning wallets and hardware-wallet coordinator software.
Stack Wallet
Open-source multicoin wallet from Cypher Stack covering Bitcoin alongside Monero, Litecoin and others, with keys held locally by the user.
stackwallet.com
Bitkit
Self-custodial mobile Bitcoin and Lightning wallet from Synonym, built for fast everyday payments while the user holds the keys.
bitkit.to