This is the 3309th most frequent Polish word.
turystycznych
"Turystycznych" means "tourist" or "touristic" (adjective, plural, genitive or locative case).
Here, 'turystycznych' is used as an adjective describing 'zabytków' (monuments), indicating that the monuments have a touristic characteristic.
Lubimy odwiedzać miejsca turystycznych zabytków.
We like visiting places with touristic monuments.
In this sentence, 'turystycznych' is describing 'okolicach' (areas), indicating that the areas are frequented by tourists or are attractions.
W czasie wakacji przebywam w okolicach turystycznych.
During the holidays, I stay in touristic areas.
The term 'turystycznych' here modifies 'szlaków' (trails), specifying that the trails are associated with tourism or travel.