I'm talking grocery store products here (including packaged meat), not Butcher Counter where I can grill the butcher about origin.
This probably depends a great deal on regional and political circumstances, but where I live (Toronto), there are dozens of Kosher and Halal grocery stores (or stores with Kosher or Halal sections), and in my experience, the meat is actually generally of worse quality.
Halal, as it applies to meat, refers to which animals are allowed and the required method of slaughter (an incision across the neck, cutting the jugular vein and carotid artery in a single motion - Kashrut requires the esophagus and trachea to be cut as well). Kosher meat also has be koshered, which means soaking and salting the meat in order to draw out the blood.
As you might expect, the method of slaughter has no tangible effect on the quality of the meat, but the koshering process does, and the effect is not positive - it dries it out and makes it salty, and most kosher meat sold in supermarkets (and even the majority of butchers) is quite tough compared to its non-kosher counterparts.
That said, some people do prefer Kosher (not Halal) meat for health reasons, because the blood may carry uric acid and other compounds that some people do not wish to eat. I've never seen any specific scientific evidence that these compounds are harmful as far as meat consumption goes, and any reports of this leading to better flavour are anecdotal at best, but I am not an expert on the biological factors, so don't take my word for it.
Various Halal/Kosher laws also govern the facilities in which the meats (or other foods) have to be prepared, but it is important to note that these laws do not actually govern general sanitization! In fact, a number of butchers have been closed down by municipal health inspectors at various times for unsanitary conditions and other improper food handling practices (such as adding food colouring to meat to make it look fresher).
Note that I am not trying to impugn the Kosher or Halal industries. These practices are every bit as common in the mainstream food industry. I am simply saying that being kosher or halal does not have any real preventative value when it comes to shady/sloppy practices.
Another factor to consider is that supermarkets and butchers are a competitive industry, but being subject to Kosher/Halal laws greatly reduces the competition and raises the processing cost by sometimes astonishing amounts. These simple economic factors would lower the quality of any food being produced because parties collude and cut corners. Again, I cannot speak for every single region of the world, but here, you cannot find a kosher ribeye or prime rib steak. They simply do not exist. Whether it's because the butchers all prefer to make cheaper cuts or because they figure that a choice cut would simply end up being too expensive for anyone to consider buying, I'm not sure.
I know that several TV chefs in recent years have recommended buying kosher meat (and possibly halal, although I haven't personally heard that), but assuming that halal/kosher is optional for you (i.e. you are not Muslim or Jewish) then always do your own research before spending a lot of money on what may often turn out to be an inferior product.
Another factor to consider for kosher beef is that you will not be able to get all the cuts of meat. Because of issues with removing the sciatic nerve, kosher beef producers will only sell the front half of the cow -- the back half is generally sold to a non-kosher meat plant. So you cannot find kosher filet mignon in the US or Canada. (I've had it, but only in Israel.)
The reason many chefs recommend kosher meat is because the process of packing the meat in salt to draw off the blood means that it's essentially pre-brined. This saves a step if you're planning on brining the meat anyway.
Kosher products, however, have advantages for people with dairy allergies (or, of course, allergies to non-kosher ingredients such as shellfish or pork). If you buy a product that is labeled pareve (neither dairy nor meat) or meat, then you can be guaranteed that it will have no dairy in it.
Similarly, anything that is not specifically labelled meat will not have chicken or beef in it -- but it may have fish products, which are not considered meat. This means that you'll have to be careful with ingredients for vegetarians or vegans.
Like anything else, it really depends on the producer of the product. There are many kosher certification agencies, which have different rules, but none of them really relate to the quality of the food product -- just to the processing of the meat and to the source of the ingredients.
Regarding halaal meat, the quality varies. In South Africa, particularly the inland provinces, halal beef sold by Muslim-owned butcheries and supermarkets is of relatively poor quality, but due to limited choices, Muslims didn't know any better. In South Africa at least, well-done beef was almost universally consumed by the Muslim community, until recently, meaning that the inferior quality was not apparent. The quality may improve as the Muslim population broadens its culinary horizons, and franchise restaurants require better quality meat to be served.
However, meat produced by commercial farming operations and feedlots in South Africa, that happens to be halaal (but is sold to the broader public), is very good. As far as I understand a lot of meat from Australia also happens to be halaal.
In summary: if meat is halaal, it won't be worse than regular meat, if it is aimed at the general population. If it is bought from an outlet that specifically targets Muslim consumers, then, due to their lack of knowledge, there is a risk that it could be inferior.