Property ‘files’ does not exist on type ‘EventTarget’ error in typescript

You can cast it as a HTMLInputElement:

document.getElementById("customimage").onchange = function(e: Event) {
    let file = (<HTMLInputElement>e.target).files[0];
    // rest of your code...
}

Update:

You can also use this:

let file = (e.target as HTMLInputElement).files[0];