Installed MMUlib by hand following the guide.
This resulted in ACATune misidentifying ACA 1233 40 MHz as ACA1230 28 MHz.
Tried bunch of demos. Most of them are from this page:
http://www.pouet.net/prodlist.php?type[0]=demo&platform[0]=Amiga+AGA&page=1&order=views
Here are the results:
victoria
- requires 060, running anyway
- the folowing is displayed:
"using 020/030 routines
loading and precalcing..."
- 8000000b (error)
pwc-tdsc
- unknown requirements
- intro runs but after exiting with LMB it goes into infinite reset loop
- three finger salute results in 8000000b guru
chrysler
- requires 060, running anyway
- it works!

(but slow)
eld-sotd
- unknown requirements
- 8000000b (error + guru)
eld_wcip_final
- unknown requirements
- 8000000b (error + guru)
eph-lux-v11
- unknown requirements
- 8000000b (error + guru)
gtn-lns-SmokeAndMirrors
- unknown requirements
- 8000000b (error + guru)
hex_pistols
- requires 060, running anyway
- 8000000b (error + guru)
hjb-prototype1-final
- requires 060+FPU, running anyway
- 8000000b (error + guru)
JesusChr
- requires 030+FPU, running anyway
"using 020/030 routines
error: fpu required (if you have 040/060, run setpatch first)"
- kudos for hardware detection and graceful exit
lapsuus
- requires 060, running anyway
"This program requires a math co-processor"
- kudos for hardware detection and graceful exit
lns_gtn-ht_final
- unknown requirements
- 8000000b (error + guru)
mwi-kioea_final
- requires 060, 80 MHz recommended, running anyway
- static gfx is shown and nothing happens
nell
- requires 68020+FPU, 68060 is recommended
- 8000000b (error + guru)
nexus7
- unknown requirements
- it works
sgp-sgr2
- requires 060, running anyway
- it works!

(but slow)
smokebomb
- unknown requirements
- it works
stercus_accidit
- requires 060, running anyway
- 8000000b (error + guru)
Spb-NK
- requires 060, running anyway
- it works but slow, after "we are spaceballs, you are not" it's black screen with music (probably 8000000b in the background)
sw-eph-kvg-rno
- unknown requirements
- 8000000b (error + guru)
tbl-magia
- requires 020+FPU, 060 is recommended
- 8000000b (error only, won't reboot)
- three finger salute results in "no signal" and normal boot to WB (watching LEDs)
- another one fixes it
tbl-silkcutfinal
- requires 680x0, 060 is recommended
- 8000000b (error + guru)
tbl-starstruck-partyversion
- requires 060
- 8000000b (error + guru)
traction_pip
- unknown requirements
- it works but has 2 FPS max
- Amiga is slowed down to a crawl after exiting with LMB
eld-lightshaft_party_version
- unknown requirements
- "This program requires a math co-processor"
- kudos for hardware detection and graceful exit
Some that should be working, don't work. Some that shouldn't be working, do work. I haven't watched to the end those that require 060 and do work, I watched them for less than a minute. They would surely crash once the 060 specific code or FPU code is reached.