Hostile Neighbors a.k.a. They're No Mr. Rogers

New Zealand: 9

New Zealand, being a geographically isolated island, does not have many neighbors to speak of but those it does- most notably Australia, New Caledonia, Fiji, and Tonga- share a pleasant and peaceful relationship with one exception: Fiji. In 2006, this small island nation located but a stone's throw, give or take a few miles, from New Zealand underwent a military coup d'etat led by Commodore "Frank" Bainimarama. The coup resulted in the overthrowing of the democratic government supported by the New Zealand government and the banishing of any New Zealand and Australian citizens and ambassadors within the country. New Zealand responded to this abuse of power and disregard of what were amicable relations by issuing travel and trade sanctions, which thus far have been the extent of their reaction. In 2010, talks began between the two countries in the hopes of overcoming their previous unpleasantness.
Fiji marks the only neighbor with whom New Zealand does not share amicable relations.
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Brazil: 7

Previously Brazil smaller neighbors embraced the nation's size and presence because it was the country equivalent of the jolly green giant: large, friendly, and nonthreatening in every sense. However, as Brazil's economy and global significance grow so does an animosity amongst its neighbors, now fearing it will become a global super power leaving them scrambling to keep up. The countries who have expressed these concerns most audibly are Bolivia, Ecuador, Paraguay, and Venezuela though they still maintain strong trade relations with their neighbor. (They may dislike Brazil's power but they require its assistance.) These countries have not officially threatened to attack or anything so foolishly aggressive but relations are tense and with several countries protesting Brazilian people and industries and Brazil itself going so far as to draft an attack plan should these countries do anything "that [might] damage national sovereignty".

Another predicament causing hostility down South is the a long-standing border dispute between Brazil and Uruguay. The land in question, or contention rather, is a small island located in the Quarai/Cuareim River that apparently lies right on the borderline, although it has previously been considered part of Brazil. Again, no threats of violence were made by either the Brazilian or Uruguayans, but relations are uneasy.