Lr41 batteries are just 12 volt batteries. Any 12 volt battery that you would buy would be a good replacement for this battery in whatever device you are buying it for.
To find out what the LR41 battery equivalent is, you may be looking on the internet for a long time. Information that you read about batteries online should be trustworthy. You need to look at who wrote the information to find out if you can believe that person to be a sophisticated source.
This is an alkaline battery and will have a typical terminal voltage of 1.5v.
The Fossil JR7978 takes two button cell batteries. The larger battery is LR41 and its a smaller battery 377. To my understanding the larger battery is for the time and the smaller battery is what powers the dial display.
The LR41 is a common 1.5-volt. button-cell battery, like a watch battery. "3xlr41", or "3xLR41", printed on the product or manual simply means the device needs "3 times", or three of, the LR41 button cells. The battery is also commonly known as a #392. The LR41/392 is equivalent to batteries by various makers with various identifiers: ANSI WS4, AWI S13, S92, Berec BSR41H, Bulova 247B, 247-B, Citizen 280-11, 280-13, Duracell 10L125, D192, D392, MS312, D384, Energizer 192, AG3, Eveready 392, 392S, S312E, 192, Gold Peak GP92, GP92A, GP192-A, GP192A, IEC SR41, A3, V3GA, Mallory D392, Maxell LR41, SR41, SR41W, TR41W, Neida 1135SO, Omega 9909, Panasonic SP392, SR41SW, SR736, SR736SW, Rayovac 392, RW47, RW27, 47S, RW87, RW49, Renata 13, 392, 2, Seiko SB-B1, SBB1, SB-E1, SBE1, TR41SW, TR41W, TR736W, Timex Type K, Toshiba SR41WK, WG3, Varta 547, V3GA, V392, Vinnic L736, S736S, Other A3, G3, G3A, SG3, 10L125, AG3, 1A3, WL1, Z392, S92, 1A3 The 392 is a silver-oxide cell of 7.9 mm diameter and 3.6 mm thickness and is usally rated at about 42 mAh with a starting voltage of 1.55 V.
LR44H is equivalent to LR44.
PP3 batteries are also known as nine volt batteries. So, yes this would be an equivalent. However, you can probably choose to buy a rechargeable battery or not. If you would a rechargeable battery, make sure to search different stores and look for this label.
It takes a KMX14-BS or equivalent.
Battery number SW927SW or equivalent 399 / 395.
Use the one specified in the instructions, or a direct equivalent.
Capacity to the equivalent of the battery is reduced - that is, you'll run out of charge quicker but the voltage delivered will still be the same.
Not so much a CMOS battery, but the data in NVRAM (startup-config) is in some models powered by a battery, which is pretty much the equivalent. In other models (among them the 2600 series) NVRAM is implemented with an EEPROM which does not use a battery.