This is just off the top of my head, for reference...
Steinberger XL-2A - For some reason, needed subtle retuning nearly every time I picked it up (but never more than a few cents). Nice grinding tone, especially when the batteries were about to fail. Handy as a (defensive) baseball bat when bar fights would erupt.
Conklin Groove Tools 7-string - Never needed re-tuning. Period. And sounded great too. The Tendonitis Machine.
Lakland Skyline 5-string - Hardly ever needs tuning. I've never adjusted the neck and the action is the lowest of anything I've ever owned. Doesn't seem to care that there IS weather. Deserves Alembic guts at some juncture.
Dean Rhapsody 12-string - often doesn't need tuning, and never very far. Neat for a few tunes a night. These days it's tuned BEAD, which required a *bit* of setup adjustment, as it will in a month or so (and the air gets good and dry) and again next spring (when it's humid again).
Carvin 5-string fretless - Usually just a gentle nudge when pulling it out of the case. The Gotoh tuners were a bit on the loose end of the scale. Good bass that sounded ever-so-slightly different as the weather changed through extremes, but never seemed to need adjustment. More mid-rangy in high humidity, possibly absorbing water through the fingerboard??
Alembic Series 1.5 - almost always in tune when I pull it out of the case, but tuning drifts and needs tweaking throughout the night because I play kind of hard. Seems to not give a rat's a55 about the weather or climate, as it's spent a lot of time in different parts of the US, and a lot of time in transit during extremes and has always behaved this well for me. I think my brother may have had a neck issue when he owned it briefly, but I don't recall any of the specifics. At any rate, it's always been fine for me. The neck gets the occasional 1/4-turn or less on the truss rods when I change string brands or gauges, but only then. Still the best sounding bass I've ever played, bar none. I wish it were a 5-string...
John