Exploration Memorials are statues that give missions to kill local enemies multiple times. These missions normally reward EXP Cards and Seals of the Pioneer. There are repeatable and non-repeatable Exploration Memorial missions. A memorial will only ever display up to five missions, so the non-repeatable ones will be displayed first, freeing up space for the other missions upon their completion (assuming there's more than five). Note that when killing enemies for Exploration Memorial missions, their names must match exactly. For example, killing "Elite" or "Forgotten" versions will not count.