Homebrew Developer Xfacter has released Battlegrounds3 0.4x. His 3d hover tank deathmatch game. You have a variety of weapons to defeat your opponents and defend your homeland.

Battlegrounds3 0.4x Changelog:
BG3 has been updated. New in this release are
* Configurable controls
* Save your play statistics
* More configurable games
* Some minor tweaks and fixes
In addition, the source code [...]

Retrobits has repacked the vertical shoot-em-up Noiz2sa to work on PSP’s running firmware 5.xx. This game was previously complied using the 1.5 kernel so newer firmwares couldn’t run this. (Unless you had a PSP fat with the 1.50 add-on)
This unique shoot-em-up has various different levels of difficulty, each with their own unique style. The game [...]

PSP Game developer Exter has released a quick bug fix for PSP Rubik’s Cube. It’s the brain teaser game based off the real thing, but on your PSP. And this isn’t just your basic Rubik’s cube either, with a variety of game play modes and various difficulties. Up to 5 x 5 x 4 colored [...]

PSP Game developer Exter has released PSP Rubik’s Cube v3.0. The brain teaser game based of the real thing — but on your PSP. Version 3 adds a few new extras like, new menu system, view angle can be configured from the menu, custom cube skins and custom backgrounds.
Rubik’s Cube v3.0 Changelog:
— Changed:
[...]

Fancy a bit of Arkanoid on your PSP? Well Art has released v4e of his Powernoid homebrew game. Powernoid is inspired by MegaBall from the Amiga and is a simple yet addictive game.
Controls:

Analog stick or digital pad left and right to move the slider
X button to shoot (when power up is enabled)

Powernoid PSP v4 changelog:

# [...]

Dan369 the PSP developer behind PSP Mario is back with a Map editor for his homebrew game. The editor is pretty easy to use and contains normal tile, collision tile and enemy options. An in game map editor is on Dan369’s to-do list. For full instructions and details, please read the readme file contained in [...]

Dan369 has released PSP Mario – The new Worlds v.01, after months of hard work. This PSP homebrew game is based on Super Mario Bros and features a classic HUD, complete animations, tilemap levels, you can play as either Mario or Luigi and classic nintendo sound effects to go with it.
Recommended download if your a [...]

Ahh this one brings back the memories, good old classic Pacman from the 1980s. Most of you PSH readers would be too young to remember. But us “oldies” lol in our mid to late 20s will remember this classic game, from the original arcade to the later ported versions on the Amiga, DOS and Amstrad [...]

kgsws has released his second update to DOOM Legacy, which lets you play the classic fps DOOM, DOOM 2, and Heretic on your PSP while on the move. The major update is all 3 games are now using hardware rendering, not software so its very smooth and looks awesome!
DOOM Legacy second update by kgsws changelog:

GU [...]

Kairus has released Chicken Invaders 1.2, a homebrew game which is almost an exact clone of the computer version under the same name. Version 1.2 now features sounds and improvements in the fps rate, due to reducing certain graphics which helps increase the frame rate.

Chicken Invaders version 1.2 changelog:
1.2:
SOUNDS!!!!! due to the huge response from [...]

PSP Developer SpartanX2X has release a new mod for the homebrew game called CSPSP. This mod called Dawn is complete conversion of CSPSP. There is various hex editing, all the gfx have been changed, and all the sounds have been changed.
Developers notes:
The premise of dawn is simple. The year is 2023, the gangs of New [...]

PSP Developer LuMA has released a long awaited verison 3 of TibiaPSP. TibiaPSP is a PSP MMO RPG Game (think Ultima). LuMa has commented that the most important & interesting new innovations are a Save/Load function, mini-map, chat module, skills, NPCs and editor.
TibiaPSP v0.3 Changelog:

New Map (300×200 fields)
Added chat-module
Added Save/Load Function
Added Mini-Map
Added Tutorial
Added NPCs (Trader. [...]

Random Shooter is Zack’s entry in the Neo Summer coding compo and its your classic retro styled Space Shoot ‘em up. And very hard at that. I think the video above was one of my highest scores lol! (One hit and your dead) Glad we don’t have to pay a quarter for this one each [...]

More of a re-release than something completely new, nevertheless Sektor brings us Flashback / REminiscencePSP NeoFlash Edition which features some tweaks and improvements, plus level/language selection code over rlyeh’s REminiscence v0.1.9 port. Which was released about a year ago. Its based on Delphine Software’s Flashback.
Still improvements are welcomed, Flashback was one of my favourite games [...]

Seeing as we seem to have a few Naruto Fans among us here at PSH, I thought you guys would be interested in this nice little Naruto homebrew game by aznag88. Its a side scroller beat em up based off NES game Contra.
Changes in V2 Naruto (Contra Edition)

Platforms
2 bosses
Better AI
Score
Energy
Mini-story
Every enemy is different and [...]

Fancy a bit of old Counter Strike on your PSP? Well you can with Stealthkill’s updated Counter Strike Portable. Its using the quake engine so runs quite well. However multi player doesn’t seem to work. Ends in a crash which is a shame. But single player is fine.
P.S: Anyone know how to add bots [...]

PSP Developer DarK_SharK has release an update for Battle Fantasy. His homebrew fighting game for the PSP. Whats new? This version has more new characters, timing x mode and new scenarios. Just check the gameplay trailer for more info as this isn’t your normal run of the mill homebrew game!

Battle Fantasy v1.0 changelog:

More Characters
[...]

Gefa’s Puzzle Bobble clone for the PSP, called Portable Bubble v1.0. This game also has over 100 levels of ball-blasting fun for your PSP. There is also an option to create your own level sets. Just browse to PSP/GAME/PortableBubble/lvls. Then open the default_levels.txt file.
To create your own level set, create a new text file in [...]