Easier said then done, there is a lot of marketing behind Germany, along with a lot of positive stereotypes about their engineering quality, etc....
When people think Germany, the think high quality engineering, studious and stable country, well educated workforce, beer and sausages.
When people think Greece, they think ancient ruins, philosophy, beaches, hot sun, sea, holidays, parties and natural beauty.
Perhaps differenciation is to be looked into then? Finland didn't have the reputation of being consumer-friendly before Nokia burst onto the scene. It had a few industrial machinery companies that had a good business-to-business relationship, but the main players in Finland were heavy industry and natural resource companies. Was Sweden famous for simple design, efficient management and furniture before IKEA became big in the 70s? Was Spain considered an important fashion destination before ZARA spread like wildfire in the 90s? Countries aren't created with a God-given reputation and a set of stereotypes that are set in stone. Countries shape their own reputation and their own stereotypes. Japan's change from "cheap knock-off and unreliable electronics" to "precision electronics and fancy design" happened in barely over 20 years, and companies like Sony, Nintendo, Fujitsu, Toshiba, Canon, Honda, Toyota as well as artists like Haruki and Takashi Murakami, Kusama...
Sure, Germany has a reputation for certain goods : cars, chemicals, pharmaceuticals, industrial goods. But that still leaves loads of areas for other countries to gain the upper hand. France has a reputation for more fashionable goods, but they also have big car companies, aerospace and defence companies, as well as natural resources, food and beauty products companies that are huge. Sure, France and Germany are "big" countries with populations that are several times that of Greece, and longer-established companies in most sectors. But the Netherlands managed to get to the top of some markets : Unilever, Philips, ASML, TomTom, Akzo Nobel, TNT Express... Why couldn't Greece have prospered in a similar manner? What was stopping these excellent Greek engineers, industrialists, marketers, etc. from founding companies that would compete in new, different, niche markets and then grow big? Sure, Greece's auto industry might not have been able to hold up to the German auto industry. But what about IT? What about architecture and construction companies? Why not become leaders in geothermal and solar energy? What about holiday resort construction and management?... The list goes on and on. As you say yourself, Greece had some advantages Germany didn't : history of engineering discoveries and applications going back to before the Roman Empire, key artistic and philosophical theories, climate and history particularly suited to tourism, a famous and healty cuisine, a trade position on the cusp of three continents just accross form the Suez Canal... How come the only things that came out of these advantages were a huge (but barely taxed) shipping industry and a strong tourist industry?
If Germany was not in the Euro, it's DMark would be so strong, that their goods would be uncompetitive with the the rest of the world. They would also not have a captive market (in the case of the rest of the eurozone countries) which can guarantee some exports no matter what.
Trust me, if the eurozone wasn't working out for Germany they would leave. They are not staying the out of the goodness of their hearts, or due to some old war guilt. The fact is that the German government knows what the grand parent posted, they know that they are getting a huge boost for free, they know that the eurozone is helping them immensely.
The problem is that the status quo cannot continue. Germany has sucked up all the production out of the rest of the eurozone (barring Italy and northern countries) and countries are collapsing. So at this point either the EU integrates further, which involves some redistribution of wealth from Germany, by whichever mechanism is chosen (euro inflation, bailouts, etc...), or it starts falling apart (perhaps the development of a "Core" EU of stronger economies, with peripheries that can use a weaker currency).
The Eurozone (like all economic questions) isn't a zero-sum game. Germany are in it because they see an advantage (indeed, lower export costs due to weaker economies keeping the Euro down, and easier exports within the EU/Euro zone). But Greece also had huge advantages. The EU doled out money like every day was the return of the prodigal son (in 2009 alone it was 260€ per Greek citizen) which enabled Greece to undertake ambitious infrastructure projects (and possibly left the door open to corruption) and finance generous social well-being programs. With the Euro, Greece's borrowing rates plummetted, allowing individuals as well as the state far greater access to credit, which in turn allowed for greater consumption, investment and increased quality of living. The Euro also helped increase tourism to Greece by Europeans due to the elimination of change mechanisms. Both Germany and Greece gained, and they also both suffered. Germany saw the writing on the wall that its workforce, despite being highly productive, was expensive, and underwent deep reforms around 2000-2003 to bring the cost of labour down. Germany also reformed their social welfare policies to account for increased life expectancy and competition within the Eurozone. Greece didn't reform, and now they're faced with a mountain to climb regardless of staying in the Eurozone/EU or leaving.
Greece's problems run deep : inefficient and obscure bureaucracy, systematic tax evasion*, low penetration of communication technology**, lack of diversification in the economy, corruption and bribery in administration and politics... These are problems that Greece will have to address regardless of staying in the EU/Eurozone. They won't be easy, and it's not by going back to the Drachma that they'll suddenly dissappear.
*: Don't believe me? the Greek tax bureau recently let out the names of 4,152 "major" tax dodgers, all of whom owe more than 150k€ in tax (link). This isn't even -all- the people who owe more than 150k€ in tax, since the tax evaders that reached a deal to restructure their tax payments or were already taken to court by the tax bureau aren't included. Given that Greece has a population of 11 Million, and an average household of 2.7 people, that's at least one household in a thousand that owes over 150k€ in tax... Since tax evasion amounts seem to be likened to an exponential decay curve, one can only expect that the number of individuals that owe 149-100k€ is greater than the number that owe over 150k€, and the number that owe 100-50k€ greater still! Perhaps there are as many as one household in a hundred that owe over 50k€! At this point, yes, "systematic" is the adjective I'd use.
** : The ITU estimates that only 44% of the Greek population has accessed the Internet in the past 12 months... The lowest proportion in the Eurozone, and last-but-one in the EU (thanks Romania!).