How to execute click function before the blur function

Replace your click event with (mousedown). Mousedown event is called before blur. This code should works properly:

<input (focus)="showDropdown()" (blur)="myBlurFunc()">
<ul>
  <li *ngFor="let item of dropdown" (mousedown)="myClickFunc()">{{item.label}}</li>
</ul>

It looks like click event has lower priority than blur, so it is predictible behaviour that blur event fires first.