New bass?

Not very expensive means $500 or so?

 

*Edited

How much do you plan on spending, less than $500?
Squier Contemporary Jazz...Sweetwater exclusive at $429.
Might be a little more potent than your current bass.

 

Fender PJ.

Ray34

 

I suggest you look at Jackson basses. They make some really good basses, for the price, compared to others of those same prices. They have really great, fast necks. The ‘Spectra’ line, has a thinner neck like a Fender Jazz Bass. The ‘Concert’ line has a thicker neck like the Precision. They start at $199 and go up to several thousand dollars.
Here is a link to Jackson Basses

 

Squire classic vibe p bass. Or J bass. A ***k of a lot of bass for the money. My squire cv p bass was one of my favorites and I think I paid like $300 for it.

Masking my profanity. I'm working on self improvement! But that word is actually 'heck'....

 

tons of great choices makes this the best and worst of times. I've currently settled on the bolt-on Epiphone Thunderbird IV @ $400 new which sounds incredible thru my Rumble etc. and and beyond incredible when hit with a thumbpick Epiphone Thunderbird IV - بحث Google

 

Fender Player, Squier Classic Vibe, Yamaha BB or Ibanez TMB would all make a fine second (and even “forever”) bass. Budget will help narrow that down, as well as a few specifications (P, J or PJ? Active or passive? Thick or thin neck?)

But the most important thing is you get out there and try Basses! The key to picking the “right” bass is listening to your heart (and hands and ears.) yes, I said listen to your ears.

PS I gigged a Rumble 100 for a few years. It’s now my rehearsal amp. Sounds especially nice with a P bass.

 

I suggest you buy a better amp (you can get a lot of amp for that money when you buy used) and install or have installed a (set of) pickup(s) in your current bass and do or have done a thorough, really good setup on it. More amp is WAY more important at that price level than more bass, and even cheapo basses can be made to play and sound shockingly good for a little money/time. Not so for amps.

 

Pbass = Punk Rock and everything else for that matter!

 

Sire P7

Both active and passive, P and Jazz (Bridge) pickup, 4 or 5 string

 

Dude your profile pic makes me think you're 15, but I dig it.

 

This is one of the coolest basses ever from Squire. Contemporary and hip.

 

I was this close to buying one from Sweetwater even though I made a vow to only buy G&L basses.
This one's nice, too.

 

But for punk, wouldn't you want a P pick up. (Was why I suggested the Sire P7 over their Jazz option)

Also where does the guy live, he apologised for his English, so that may restrict the Fender/Squier options.

 

This is a Jazz bass and as punk as it gets.

 

Yamaha is always a good choice, especially on a budget

 

If you can find one, I would sudgest a Sire. V3 will do.
I got one, and my setting is more jazz/blues kind of vibe. Then a friend of mine came, made just a few twicks and suddenly he got a punk bass tone.
And I'm using only passive mode.