Backend -> Extensions -> Manage -> Manage
Search Tools -> Third search field is missing
A search dropdown f眉r types
No search dropdown f眉r types, just an empty field
Tested on PHP 5.6 and 7.0
Joomla 3.8.10

Confirmed
Something is inconsistent here. It's missing on a live site. I have it on my local git clone.
last staging

@mbabker yes same here.
Fixed with direct commit of https://github.com/joomla/joomla-cms/commit/8383f6071aa91e28a6b53904b886c32aab757213
There used to be a differently purposed JFormFieldType in com_installer that was removed between 2.5 and 3.0. The file ended up back in the deleted files list after rebuilding it. So the file is being deleted from sites during the post-update processing.
how to fix this issue???
Base on the commit, you can get this file https://github.com/joomla/joomla-cms/blob/staging/administrator/components/com_installer/models/fields/type.php , and upload it to administrator/components/com_installer/models/fields folder to get the issue sorted
As temporary workaround, note that typing directly what you search for (Language, Component, ...) does work :

confirmed issue
Congratulations @gwsdesk you have confirmed an issue that has already been fixed
Thank you @brianteeman for your oh so nice and kind reaction... Your precious commenting is duly noted! Keep on the good interaction..Great!
@mbabker glad to see you agree humiliating people that way. Good management!
Tested by re-creating the deleted file /administrator/components/com_installer/models/fields/type.php as suggested by @joomdonation. Tested OK.
Fix works! thanks a lot to you guys :-)