The short answer — NO! Here are the suggested wash instructions for specific kitchen items:
Engraved Glassware: This item is dishwasher safe technically, but I DO NOT recommend it, for fear that the delicate etched design will crack. If your item has metallic paint fill (silver, gold, rose gold), then it should only be hand washed and dried with care.
Wood & Marble Cheese Board: Hand wash with damp sponge or towel, but do not submerge in water or place in dishwasher. If wood becomes dull, the finish can be restored with mineral oil or wood conditioner.
Stainless Steel Drinkware: I work with high-quality S'well brand drinkware — here are very specific directions from the company, but the general care instructions are to hand wash with soapy water or baking soda, and never place in the dishwasher.
My engraved bookmarks are pure quality metal. Copper items may tarnish with age — that is just the nature of the material. My bookmarks have been treated with a special spray called Incralac to prevent tarnishing, but the shiny color still may age. Some people like the look of tarnished copper! But if you prefer a super shiny bookmark, any copper polishing compound will return it to its original state. I'd recommend removing the ribbon before you use chemicals on the metal.
If you're concerned about tarnish, then copper simply may not be the best choice! I offer bookmarks in aluminum (silver), which are easy to maintain and will not tarnish. For cleaning aluminum, wipe with a non-abrasive cloth and mild soap or vinegar.