Deflemask is a good tracker. It used to be free but now it's like 15 bucks. The Legacy versions are free though.

https://www.deflemask.com/

Legacy version https://www.deflemask.com/get_legacy/

I use LMMS for most of my music, not the best for chiptunes unless you're just looking for chiptune "sounds" and not... you know... meant to sound like actual hardware. Though there are some vsts out there that do emulate hardware. https://lmms.io/ The beta builds are stable enough.

 Edit: And I forgot, the SNES's soundchip can be made by just downsampling small samples in impulse tracker and only using 8 channels. 32khz is the max but 24hz or 16khz was quite common. Half second is about the longest to get the "SNES" sound for most samples. It won't have the weird FM thing that they use to make wind or the "reverb". But it will have that lofi spc700 sound.

If you're going authentic you don't have a lot of channels so you need to understand how to imply harmony in some of the older systems. Nes only has 2 square waves, a triangle wave, a noise machine and a really limited sampler. The PCE engine will give you the "chiptune sound" with 8 channels. And since they're all wavetables (or noise) you can set them to whatever you want.

Few other trackers:

http://famitracker.com/index.php

https://sourceforge.net/projects/goattracker2/

https://www.julien-nevo.com/arkostracker/

https://www.zophar.net/pdroms/nintendods/nitro-tracker.html

https://www.nesdev.org/nt2/index.html

https://famistudio.org/ ( not tracker, but oriented to famicom )

https://www.littlesounddj.com/lsd/

https://web.archive.org/web/20200809214716/https://bitbucket.org/ivanpir... ( not last version )

Sites with some other trackers:

https://files.scene.org/browse/resources/music/trackers/

https://woolyss.com/chipmusic-chiptrackers.php

https://web.archive.org/web/20220126232313/https://battleofthebits.org/l...

Some tutorials:

https://web.archive.org/web/20190930005822/http://blog.ntrq.net/?page_id=9

https://tildearrow.org/furnace/

Furnace Tracker supports almost every old soundchip from the 70's, 80's, and 90's in existence. You can layer them too, and have for example four C64's playing at once in the same song. Controls are just like other trackers.

Your "first" track is so cute! Real authentic vibes! It reminds me of the level theme from Door Door.

https://www.youtube.com/watch?v=tKSYbuybEhs

For that kind of style, you are basically there already! But I don't know exactly what you are going for.

https://www.youtube.com/watch?v=KxNfc8YDIjI

It's a tracker file. Usually like a software version of sample based soundchips. You don't need the special keyboard for them either. 

No they don't simulate a chip. you can kinda rig em up to sound like a Amiga mods or SNES spc files but they're just samplers.

But, forgetting about furnace, you can do some great "general chiptune" stuff by just using each chip as synth in and of itself. One thing LMMS has it has a built in SID and NES chiptune thing. But you can put as many of them as your computer can process. And plenty of free vsts.

Well since you're not looking for authentic, maybe go with ease of use? Trackers are really fun but they can be dense.

I cannot recommend BeepBox enough for this. I also wanted to try making chiptunes and BeepBox has been great because it can be pretty overwhelming looking at more complex DAWs.

BeepBox is a lot simpler to get started but still quite powerful.