They receive many names depending on the script you use, there seems NOT to be a consensus on a single specific name. Just to illustrate different options, here you have the names and link to the script that generates these blocks.
Tags Input
Token Input
Tag Selector
Select Box and also select box
There seems to be some kind of consistent naming around the tag and select terms, however it's not definitive. Furthermore, since most of these plugins (if not all) use JQuery and "selector" is a totally different thing in JQuery (and HTML5) while select is even more confusing, I guess something like tag box would be the more appropriate option. Personally, I call them closable terms boxes
These are not tags
To be clear: these are not tags, nor are these select, these are not boxes, these are not selectors. All of this terms have very specific definitions, none of them apply to the question entirely, only in part.
Furthermore, this element is NOT always a tag, it could be a category, or a custom taxonomy or a live search term.
Anatomy of element
This element is composed of at least 3 different sub-elements: a visual one, a taxonomy/IA one and an action one.
The visual one is the box or boundary that contains the tag or filter term plus the close element, the taxonomy one is the term itself (eg, a tag), and the action one is the close element and in some cases, a handle to drag an re-arrange.
Functionally, it's an input element if you work with autocomplete search or the likes, but if the terms were added by an admin, they are select since the user can only select from a pre-defined list of terms.
In short
As said above, there's no consensus about it. If you're looking to properly communicate this element to someone, it's reasonable to call them by combining 2 or more of the compounding parts