
regional
Relating to a specific geographic region or characteristic of it.
Auf dem Markt werden viele regionale Produkte angeboten.
Many regional products are offered at the market.
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Relating to a specific geographic region or characteristic of it.
Auf dem Markt werden viele regionale Produkte angeboten.
Many regional products are offered at the market.

Restricted or limited to a specific area.
Die Zeitung berichtet hauptsächlich über regionale Ereignisse.
The newspaper mainly reports on regional events.
The adjective 'regional' derives directly from the noun 'die Region' (the region). It describes everything that belongs to a specific region or is typical of it.
Diese Käsesorte ist eine regionale Spezialität aus dem Allgäu.
This type of cheese is a regional specialty from the Allgäu.
In connection with culture and trade, 'regional' is often used for things that come from a specific area. Typical combinations are 'regionale Produkte' (regional products), 'regionale Küche' (regional cuisine), or 'regionale Traditionen' (regional traditions).
Auf dem Wochenmarkt kaufe ich am liebsten regionale Produkte.
At the weekly market, I prefer to buy regional products.
When 'regional' describes the reach of something, it is limited to a specific area. For example, people speak of 'regionale Nachrichten' (regional news), 'regionaler Nahverkehr' (regional public transport), or 'regionale Unterschiede' (regional differences).
Der Streik betrifft nur den regionalen Zugverkehr.
The strike only affects regional train service.
local
Lokal and regional both refer to an offering or event limited to a particular geographic area. Lokal usually means a single place and its immediate surroundings, while regional refers to a larger, contiguous region. For an offering in one city, lokal is usually the better choice; for several places in an area, regional is more appropriate.

Die regionale Bäckerei beliefert mehrere Orte in der Umgebung mit ihrem Brot.
The regional bakery supplies several nearby towns with its bread.
Die lokale Bäckerei verkauft ihr Brot nur in unserem Stadtteil.
The local bakery sells its bread only in our neighborhood.