How to delete a connection by type with nmcli?

This is actually a trickier question than it seems on the surface, because NetworkManager allows for connection names with spaces in them. This makes programmatic parsing of the output of nmcli connection show for connection names a bit awkward. I think the best option for scripting would be to rely on the UUID, since it seems to consistently be a 36 character group of hexidecimal characters and dashes. This means we can pull it consistently with a regular expression. So for example you could get a list of the UUIDs for gsm connections with the following:

$ nmcli connection show | grep gsm | grep -E -o '[0-9a-f\-]{36}'
cc823da6-d4e1-4757-a37a-aaaaaaaaa
etc

So you could grab the UUIDs and then delete based on the UUID:

GSM_UUIDS=$(nmcli connection show | grep gsm | grep -E -o '[0-9a-f\-]{36}')
while IFS= read -r UUID; do echo nmcli connection delete $UUID; done <<< "$GSM_UUIDS"

Run with the echo to make sure you're getting the result you expect, then you can remove it and you should be in business. I ran locally with some dummy GSM connections and it seemed to work they way you would want it to:

GSM_UUIDS=$(nmcli connection show | grep gsm | grep -E -o '[0-9a-f\-]{36}')
while IFS= read -r UUID; do nmcli connection delete $UUID; done <<< "$GSM_UUIDS" 
Connection 'gsm' (cd311376-d7ab-4891-ba73-e4e8a3fc6614) successfully deleted.
Connection 'gsm-1' (54171181-5c37-4224-baf5-9eb36458f773) successfully deleted.

nmcli con del $(nmcli -t -f UUID,TYPE con | awk -F":" '{if ($2 == "gsm") print $1}')