Taking the general use case of weapons into account, here is a general tier list of all legendary and Pearlescent weapons in Borderlands 4.
Criteria
Placements are derived from what the weapons can actually bring to a build be it utility or power. Obviously all tier lists have a level of subjectivity based on how an idividual values a certain setup or ability. My personal driving criteria is 'Contribution to content clear rate.' How fast can a weapon take you from A to B in either mobbing or bosses (whatever it's better at) with bonus points for doing both, this can be quantified using 'applicable DPS'. ie, how much DPS can the weapon output that can be realistically applied in gameplay, with it's perks and uptimes taken into account. The ability to get it's best use case on multiple characters vs maybe just 1 character is also taken into account.
Difficulty to use and skill ceiling is not considered. A weapon that is difficult to use mechanically is not punished, unless it would realistically slow the player down.
Example: I'm not exactly punishing the 
Truck because you have to aim it, but I am going to reward the 
Stray because you don't need to aim it while it also just hits everything all at once, while Truck is stuck to 1 target at a time + ricochet.
Example: while 
Crow-Sourced and 
Convergence have comparable DPS outputs, Convergence can roll Jakobs, allowing it to apply it's damage to multiple enemies at once. Both weapons have similar downtimes (max sizes, charge times), so this one difference makes Convergence better in my eyes.
Random Extra Notes
Don't take the placement within a bracket too seriously, esp further down the list. I do generally place weapons towards the start or end of a bracket to indicate "high A tier" or "low B tier" but beyond that this game has too many situations, builds, characters, use cases, scenarios, etc to have a perfect linear ranking.
This list was made to be a general guide to what weapons are worth looking at, especially within its own use case.
Just because a weapon is further down the list one would personally like, doesn't mean it's bad, just that there are likely better alternatives. For example I love the 
Hellwalker I think it's amazing and I use it to mob on TRUE VH6, yet can recognise it does get carried by the build and there are better options.
There are a few exclusions like 
Frangible which doesn't exist and 
Matador's Match because it's lvl 1 locked. So they aren't listed.
