These are probably the most popular and recommended software wallets in the community. All open source and non-custodial. In no particular order:

-Monerujo [Android only]

-Stack Wallet (Multicoin. Bitcoin/Monero only version available) [Android, iOS]

-Cake Wallet (Multicoin. Monero only version available) [Desktop, Android, iOS]

-Anonero (Only available thru Tor) [Android only]

-Mysu (Only available thru Tor/I2P) [Android only]

-Featherwallet [Desktop only]

-Monero GUI [Desktop only]