The Swiss really have not held negative views against the major European countries, in fact they have busily studied their languages to provide services to them.
Terms like "Fraemde Foetzel" (roughly meaning "foreign 'pieces of paper, or "shreds" of paper), when applied at all, refers to third-world country immigrants who in comparison to the precise, order-obeying Swiss, behave inappropriately, i.e. talk loudly in "quiet-cars" (after having understood and exchanged views on the "quiet-symbol"), or do not dispose of garbage properly bec. their native countries had a less structured garbage system.
Traditionally, even the Germans were not unpopular here, they were the major regional source of tourism. Recently, however, they have arrived in very large numbers, leading the Neue Zuercher Zeitung to write that "the number of Germans at the U.Zurich Faculty is unacceptably high", the complaint being that the new Professors are bringing their own graduate students in as a condition.
If you are from the US, or from one of the wealthier European countries, there are no negative feelings toward you here, even among lower-class Swiss, who grasp the role of their country as purveryors to the rich and as prime vacation destination. The seemingly crazy "features" of living here you are witnessing (charges for owning a radio/TV or two-year land-line phone contracts), or $110 to switch your driver's license over (!) are perceived as normal by them.
Italians - Tschinggä - not really insulting
Germans - Schwobä - well, those who aren't from the region might be offended I guess?
Austrians - Many jokes, but names ?
French - Froschfresser is imported and not really used here, can't think of any
Brits - Inselaffe is German and is not really in use here.
Ex-Yugoslavia - Yugo - enough of an insult I presume ?
You can always add Schiis- or Sau- of course; Sau-Schwoob to insult a German for example, but we don't have too many insulting terms per se I'm afraid.
There are lots of standard racist terms, but can't think of many original Swiss ones. Either we're not very inventive or we just don't hate our neighbours as much as we should?
And sandiegan mentioned an important point:
Saupack, d'Ussländer or frömdi Fötzel is only directed towards the poorer immigrants from elsewhere, not richer/educated immigrants or tourists.
This is true to the extent that some Swiss would talk with a foreign friend about Schiis-Ussländer and not be aware in the slightest that this could be offensive to his friend as well. "Ah nei, ned duu natürlich!!" (No, not you of course!) "du besch doch ned eine vo dene!" (you are not one of those!)
Swiss love their law and order, cleanliness and manners, and because it has declined quite a bit in the last centuries many blame it on the "dräckige Ussländer".