Skodje is not a large mountain region. Frostadtinden (shared with Vestnes) is the highest point. The tops are found east and west of Skodjevika. All tops are easy to reach, in winter as well as summer.

Most of the Skodje tops, seen from Sandvikshornet (click for larger image) 
    

Google map

Rank		Mountain	Hgt	PF	Location
1.		Frostadtinden (*)	807m	364m²	32 V 388927 6938457
2.		Meraftafjellet	578m	578m¹	32 V 373791 6927451
3.		Ursfjellet	563m	213m	32 V 371953 6929114
4.		Engsetfjellet	535m	227m	32 V 385328 6935976
5.		Nihusen	438m	340m³	32 V 379906 6933981
6.		Rødlandstua	355m	287m	32 V 369639 6931209
7.		Haugtua	354m	256m	32 V 377227 6929643
8.		Vassberget	253m	125m	32 V 382598 6933004
9.		Utvikfjellet	253m	100m	32 V 372201 6931834
10.		Støråkfjellet	243m	195m	32 V 376657 6935411
11.		Stavsetfjellet	208m	140m	32 V 372203 6935024
12.		Høgåsen	198m	115m	32 V 382620 6935061
13.		Nesnakken	196m	128m	32 V 379599 6935236
-		Høgsæterrørene	186m	98m	32 V 375289 6931141

Click here for an explanation of the above table

This will need further investigation, but based on Økonomisk Kartverk, it does not seem that Frostadtinden is a tri-municipality point. Thus, this site assumes that the top is shared between Vestnes and Skodje, and not with Haram.