The best inexpensive barware gifts do not add clutter. Look for a Japanese-style jigger with clear markings, a balanced bar spoon, a Hawthorne strainer that fits common tins, or a large silicone ice tray. Linen cocktail napkins and a small tray also work well because they make serving feel deliberate. Avoid novelty gadgets unless the person already asked for them. Thoughtful means useful, not loud.
Under $50, precision beats spectacle. A double jigger is useful because most bad home cocktails are not bad recipes; they are bad measurements. A Hawthorne strainer helps anyone using a Boston shaker. A citrus press, channel knife, or vegetable peeler turns garnish from afterthought into aroma. A heavy mixing glass is nice, but only if the person already stirs drinks often.
For hosts, think in pairs and refills. Two nice rocks glasses are more usable than one dramatic specialty glass. A pack of linen cocktail napkins, a sealed jar of good cherries, or a better ice mold can be used immediately. For non-drinkers or mixed groups, bitters, syrups, tonic, and soda tools can be more thoughtful than another bottle.
Skip giant kits with a dozen shiny tools unless the recipient has asked for one. They often include weak versions of things people do not need. A small, good tool feels more adult and takes less space.
Further reading: Allrecipes on home bar essentials and Decanter on essential home bar tools.