for (int i = 0; i < nodeList.getLength(); i++) {
    Element e = (Element) nodeList.item(i);

    event.setName(parser.getValue(e, NODE_NAME));
    event.setDate(parser.getValue(e, NODE_DATE));
    event.setLocation(parser.getValue(e, NODE_LOC));

    Log.d("Thisworks!:", event.getName());
    eventsList.addLast(event);
}

for (Event curevent : eventsList) {
    Log.d("ThisDoesnt!?:", curevent.getName());
}

name1
name1
name1
name2
name2
name3
name3

name3
name3
name3
name3
name3
name3
name3

for (Element e : nodeList) {
    Event event = new Event(); // You're missing this.

    event.setName(parser.getValue(e, NODE_NAME));
    event.setDate(parser.getValue(e, NODE_DATE));
    event.setLocation(parser.getValue(e, NODE_LOC));

    Log.d("Thisworks!:", event.getName());
    eventsList.addLast(event);
}