There are 1:1 replacements of native Alert, Prompt and Confirm modals. They support callbacks, have very easy api and can be combined with each other. Check these examples:

Alert Confirm Prompt

Login Modal Password

Action Sheet Popup

Action Sheet To Popover

Action Sheet could be automatically converted to Popover (for tablets). This button will open Popover on tablets and Action Sheet on phones:

Action/Popover

Picker Modal

Such overlay type is similar to Picker's overlay, but also allows to create custom picker overlays

Picker Modal With Custom HTML

Modals Stack

This feature doesn't allow to open multiple modals at the same time, and will automatically open next modal when you close the current one. Such behavior is similar to browser native alerts:

Open Multiple Alerts