Size
The Chihuahua comes in a wide range of sizes, 1–3 kg (2.2–6.6 lb) as an adult, against 5–6 kg (11–13 lb) for the Jack Russell Terrier.
Lifespan
In UK vet records the Jack Russell Terrier lives longer: a median of 13.3 years, against 11.8 for the Chihuahua.
Exercise
Plan for a moderate amount of exercise with the Jack Russell Terrier, and a modest amount with the Chihuahua.
Temperament
They differ most on prey drive (Chihuahua: usually fine with small pets; Jack Russell Terrier: likely to chase small pets) and on affection (Chihuahua: a lap or leaning dog; Jack Russell Terrier: affectionate on its own terms).
Alike
Both are rated the same on independence: decides for itself.