In countries with an established organized crime scene you can see that many of the major organized crime forces are often connected to paramilitary networks.

In Colombia the Urabeños - currently arguably the major drug trafficking organization active in South America - in Uraba are former AUC members. The same goes for the remnants of the NDVC and Rastrojos in the Cali area. Oficina de Envigado (which are the Medellin cartel remnants) are traditionally also very much connected to AUC.

In Turkey largely in the Black Sea region the major crime families like Saral and Sahin are connected to the Grey Wolves. Another notorious Black Sea crime figure Alaattin Cakici has also traditionally been connected to the Grey Wolves.
The main notorious crime families in the Southeast Anatolia (Turkish Kurdistan) region - of which the Baybasin are traditionally the biggest and most well known - have long been linked to the PKK.

A few Lebanese crime families with a Shi'ite background that are also active in for instance Germany have established Hezbollah connections; like for instance Chahrour, Balhas or Berjawi.

In Ireland the Hutch group has well known IRA relations while it's said that the Kinahan group has INLA associations.

Corsican criminal organizations like Brise De Mer in Bastia and Petit Bar in Ajaccio have long been connected to the FLNC.

In Kosovo criminal organizations like those of Kelmendi or the Osmani brothers were often linked to KLA.

Sometimes it's different though;

For instance in Israel the three major Arab crime families - the Jarushi (Bedouin origin clan from Ramla), the Abu Latif (Druze clan from Rameh) and the Hariri (Palestinian clan based in Umm al-Fahd) - seem to be pro-state, have relatives serving in the Israeli army, don't seem to have any relations with Palestinian militant groups and have strong ties to major Jewish criminal organizations. The Jarushi for instance have business relations with the Abergil and Domrani crime families (that are both of Moroccan Jewish descent).

In France the well known Algerian crime families like the Tir-Berrebouh group in Marseille or the Bouchibi group in Paris don't have any established connections whatsoever to the AQIM. Which probably shows that the current role of North African terror groups in organized crime is negligible and the Moroccan and Algerian criminal organizations in Western Europe are distinct organized crime groups.

The role of the United Wa State Army (which has strong Chinese ties) in Myanmar these days is mostly limited to the production of synthetic drugs in favor of Triad organizations operating out of Hong Kong and Taiwan. Triad groups seem to have overtaken the major drug trafficking routes into Southeast Asian countries like Thailand or the Philippines.

There are a lot of Pakistani organized crime rings active in the UK (largely in cities like Bradford, Luton and Birmingham), but they're mostly traced back to the Mirpur region or the Attock region (which is some sort of Pashtun enclave in Punjab). None of them have established Taliban connections and they're more operation in the same kind of way like the North African groups in the Netherlands, France and Belgium are - which means they're local OC groups and not based in the country where they have distant family ties.
I'm sure the Taliban has muscled in on the heroin production in Afghanistan though, but this is largely a production business and the transnational heroin trafficking and distribution is largely perpetrated by other established criminal organizations.

Other mentioned paramilitary organizations have seen their day;

ETA are probably done.

LTTE used to get a lot of many from extorting Tamil shopkeepers abroad, but those activities seem to have cooled down and nowadays there are no noticeably major high level criminal organizations operating in Tamil communities.

Shining Path's influence in organized crime in Peru these days is negligible. Colombian and Mexican criminal organizations wield the most direct power over the drug production in that county.