European Union

The EU Regulation (1143/2014) on invasive alien (non-native) species first 37 species listed;

On 14 July 2016 the European Commission published Commission Implementing Regulation 2016/1141 which sets out an initial list of 37 species to which EU Invasive Alien Species Regulation 1143/2014 will apply. The associated restrictions and obligations will come into force on 3rd August 2016. All of these species have been accepted as meeting agreed criteria concerning their invasiveness and ability to establish in several Member States.
The aim of this new regime is to prevent or manage the introduction, or spread, of invasive non-native species across the European Union. In order to achieve this aim the EU Regulation requires Member States to put in place surveillance and rapid response mechanisms and to develop management action plans.
Listing imposes restrictions on the commercial keeping, sale, and transporting of the listed plants and animals, and their intentional breeding or release. A permit scheme will be in operation to allow derogations from some of these restrictions (other than their release) but only in very limited circumstances.

The first 37 Species Listed are;
American skunk cabbage (Lysichiton americanus)  Kudzu vine (Pueraria montana var. lobata)
Asiatic tearthumb (Persicaria perfoliata)  Parrot’s feather (Myriophyllum aquaticum)
Curly waterweed (Lagarosiphon major) Persian Hogweed (Heracleum persicum)
Eastern baccharis (Baccharis halimifolia) Sosnowsky’s hogweed (Heracleum sosnowskyi)
Floating pennywort (Hydrocotyle ranunculoides) Water hyacinth (Eichhornia crassipes)
Floating primrose willow (Ludwigia peploides) Water primrose (2 species) (Ludwigia grandiflora)
and Floating primrose willow (Ludwigia peploides)
Green cabomba, Carolina fanwort (Cabomba caroliniana) Whitetop weed (Parthenium hysterophorus)
Amur sleeper (Percottus glenii) Raccoon (Procyon lotor)
Asian hornet (Vespa velutina) Red eared slider (terrapin) (Trachemys scripta)
Bryant’s fox squirrel (Sciurus niger) Red swamp crayfish (Procambarus clarkia)
Chinese mitten crab (Eriocheir sinensis) Ruddy duck (Oxyura jamaicensis)
Coypu (Myocaster coypus) Sacred ibis (Threskiornis aethiopicus)
Eastern/Spiny – cheek crayfish (Orconectes limosus) Siberian chipmunk (Tamias sibiricus)
Grey squirrel (Sciurus carolinensis) Signal crayfish (Pacifastacus leniusculus)
Indian house crow (Corvus splendens) Small Indian mongoose (Herpestes javanaicus)
Marbled crayfish (Procambarus fallax) South American coati (Nasua nasua)
Muntjac deer (Muntiacus reevesi) Topmouth gudgeon (Pseudorasbora parva)
North American bullfrog (Lithobates catesbeianus) Virile (northern) crayfish (Orconectes virilis)
Pallas’s squirrel (Callosciurus erythraeus)  

The GB Non Native Species Secretariat have prepared some FAQs

Ireland also produced their own FAQsFAQ (Ireland)

Other Sources of Information;
Invasive Species Ireland

Invasive Species Ireland