Heat the oil in a frying pan. Add the cubes of bread and fry until golden, set aside. In the same pan add the rashers and cook until crispy, set aside.
To cook the eggs: Put the eggs in a saucepan and cover with cold water. Bring to the boil and cook for 3-6 minutes depending on how you want your eggs cooked - soft boiled or hard boiled. Remove from the saucepan and put into a bowl of cold water, then when cold enough to handle peel and set aside.
For the dressing: Place the egg, chopped anchovies, mustard, lime juice and garlic in a food processor. Whiz to combine. You can do this by hand if you prefer. Slowly add the oil a few drops at a time, while continuing to whiz until the mixture thickens, taste and season. The dressing should have the consistency of unwhipped cream. If it is too thick, add a teaspoon of warm water.
Roughly tear the lettuce and place in a large mixing bowl. Add 4-5 tablespoons of the dressing and toss well to coat. Add the croutons and bacon and toss again. Cut the boiled eggs into quarters.