• Railroad Ink and other roll and write games might work.
• The tiles from Kingdomino are quite thick and shouldn’t fly away at a slight breeze.
• Trick Taking games may work well, I have played lots of Skat outside way back when
• Kakerlakensalat and Dodelido don‘t take up a lot of space and worked well for us recently

Hive is the perfect outside game. My number one game to play on the beach or directly on the grass in a park as the whole game is made out of heavy plastic.

Most card and board games on a gusty day will fly away, but on a calm or slightly breezy day...

• Love Letter might work as it's solid token pieces and a few cards only, easy portability is another plus for outside play.

• Games like Chess, Checkers, any game with Dominoes (e.g. Mexican Train), Stratego, Mahjong, Blockus will work fine as they all use pieces and tiles only.

• Games that use cardboard tiles like Carcassonne (as long as you have a table that fits it)

Hive. The original version has larger tiles, the mini version is more compact but should still work as long as it's not too windy. Hive Carbon is worth checking out if you prefer that color scheme.

For Azul I wonder if the new Azul Mini might work better, smaller tiles but the boards have indents to keep tile in place. And much better score track.

You can have a lot of fun with a plain old deck of cards. https://boardgamegeek.com/wiki/page/Standard_Deck_Playing_Card_Games