You aren't really going to be able to do everything you want with one tool. You can come close, but there will be issues or minor frustrations. In general I hate batteries, so I try to avoid needing them as much as possible.
For measuring brake rotors I don't use a vernier caliper, I use a "digital" brake micrometer. It's called "digital", but it uses a mechanical rolling number counter to tell me the thickness instead of me having to read and add together tick marks like a normal style micrometer. Mine is Fowler brand. No batteries, no hassle, very accurate, it works every time, it has carbide contact faces to minimize wear, and it's easy to read when working in darker areas. I use a brake micrometer for one main reason...as brake rotors wear down, small lips form along the outside edge of the brake rotor. Those tiny lips will often prevent a regular *********** style vernier caliper from closing flat onto the main brake rotor surface to get an accurate rotor thickness measurement, especially if you are trying to measure the rotor thickness near the outside edge of the brake rotor. Brake rotor specific micrometers/calipers have the required ***********, but they also have the measurement contact surfaces spaced away from the yoke of the tool. That eliminates the issue with the brake rotor edge lips, but it's also a feature you wouldn't want on something like a general purpose vernier caliper.
For general purpose accurate tasks, I have two digital 6" vernier calipers that have metric and inch measurements. They are the only battery operated measuring tools I use. I don't know the brand, because I got them at a garage sale 5-7 years ago. They are both obviously made in China, but I've had no issues with them as long as they are used in the same room I store them in. If I take them somewhere where there is a large change in air temperature, they will lose their perfect 0.001" repeatability until the digital micrometer normalizes with the new air temperature. I leave the batteries in at all times, but they do require battery change outs about 2x per year. The internal circuitry probably draws more electricity than a high quality digital caliper would, and the batteries will still drain to nothing within 6 months even if I don't use the calipers at all in that time. Not a big deal to me. I buy 10-20 packs of batteries on Ebay for a couple dollars and then I'm good for several more years.
For more accurate general purpose tasks, I have a couple manual rolling number counter style "digital" micrometers (that require no batteries), along with a couple different reference spacers I use for accuracy testing of the tool itself. I happen to have Fowler and/or Mitutoyo for those, but other high and low quality brands make them as well. I don't use them a lot, but I use them enough to not want to get rid of them.
For quick and dirty use, I have several cheap orange plastic 3" vernier sliding calipers laying around my shop. They cost a dollar or two each online. Those are actually the ones I use the most. They are great for tasks like quickly checking a bolt shaft diameter, measuring the thickness of a piece of sheet metal, measuring the head size of a bolt so I can grab the right socket the first try, etc. I like how the sliding scale has both metric and fractional inch markings, so if I am working on a new piece of equipment I can just check a bolt head really quick and know if I need a 12mm or a 1/2" socket.
The only time I prefer a dial type display is when I'm using a dial indicator to measure the runout of brake rotors or to measure the runout of items chucked into my lathe. It's much easier to visualize what's going on when you can watch a dial needle go back and forth while the item is rotated.
. Yes I can convert units, but that takes time and digital calipers make it easy to flip back and forth.