Kernel.org: 5.3.6
sid (unstable): 5.2.17-1
buster (testing): 4.19.67-2+deb10u1
stretch (stable): 4.9.189-3+deb9u1
jessie (oldstable): 3.16.74-1

Debian GNU/Linux device driver check & report

Acer: c720

PCI IDWorks?VendorDeviceDriverKernel
80860a04Intel CorporationHaswell-ULT DRAM Controller
80860a06Intel CorporationHaswell-ULT Integrated Graphics Controller
80860a0cIntel CorporationHaswell-ULT HD Audio Controller
80869c31Intel Corporation8 Series USB xHCI HC
80869c60Intel Corporation8 Series Low Power Sub-System DMA
80869c61Intel Corporation8 Series I2C Controller #0
80869c62Intel Corporation8 Series I2C Controller #1
80869c20Intel Corporation8 Series HD Audio Controller
80869c10Intel Corporation8 Series PCI Express Root Port 1
80869c26Intel Corporation8 Series USB EHCI #1
80869c45Intel Corporation8 Series LPC Controller
80869c03Intel Corporation8 Series SATA Controller 1 [AHCI mode]
80869c22YesIntel Corporation8 Series SMBus Controlleri2c-i801
80869c24Intel Corporation8 Series Thermal
168c0034YesQualcomm AtherosAR9462 Wireless Network Adapterath9k

forgot to mention that i'm using linux-image-3.17.7. (2015-04-25T21:56:39+00:00)

PCI IDWorks?VendorDeviceDriverKernel
80860a04Intel CorporationHaswell-ULT DRAM Controller
80860a06Intel CorporationHaswell-ULT Integrated Graphics Controller
80860a0cIntel CorporationHaswell-ULT HD Audio Controller
80869c31Intel Corporation8 Series USB xHCI HC
80869c60Intel Corporation8 Series Low Power Sub-System DMA
80869c61Intel Corporation8 Series I2C Controller #0
80869c62Intel Corporation8 Series I2C Controller #1
80869c20Intel Corporation8 Series HD Audio Controller
80869c10Intel Corporation8 Series PCI Express Root Port 1
80869c26Intel Corporation8 Series USB EHCI #1
80869c45Intel Corporation8 Series LPC Controller
80869c03Intel Corporation8 Series SATA Controller 1 [AHCI mode]
80869c22YesIntel Corporation8 Series SMBus Controlleri2c-i801
80869c24Intel Corporation8 Series Thermal
168c0034YesQualcomm AtherosAR9462 Wireless Network Adapterath9k

graphics works, audio (both hdmi and analog) works, thermal works, and anything else that i have tried works.  i don't know which drivers are in use.  lsmod output is below.
$ lsmod
Module                  Size  Used by
usblp                  17274  0
nls_utf8               12456  0 
nls_cp437              16553  0 
vfat                   17185  0 
fat                    57934  1 vfat
uas                    26033  0 
usb_storage            60311  1 uas
hid_generic            12393  0 
usbhid                 44503  0 
hid                   102292  2 hid_generic,usbhid
ctr                    12927  2 
ccm                    17577  2 
pci_stub               12429  1 
vboxpci                23077  0 
vboxnetadp             25443  0 
vboxnetflt             27420  1 
vboxdrv               332092  6 vboxnetadp,vboxnetflt,vboxpci
cpufreq_stats          12782  0 
cpufreq_conservative    14184  0 
cpufreq_powersave      12454  0 
cpufreq_userspace      12525  0 
snd_hda_codec_hdmi     45118  1 
ath3k                  12685  0 
ecb                    12737  1 
joydev                 17108  0 
tpm_infineon           16882  0 
btusb                  29954  0 
cyapa                  12743  0 
uvcvideo               79007  0 
bluetooth             382778  3 ath3k,btusb
videobuf2_vmalloc      12816  1 uvcvideo
videobuf2_memops       12519  1 videobuf2_vmalloc
videobuf2_core         47872  1 uvcvideo
v4l2_common            12995  1 videobuf2_core
videodev              130974  3 uvcvideo,v4l2_common,videobuf2_core
iTCO_wdt               12831  0 
media                  18305  2 uvcvideo,videodev
iTCO_vendor_support    12649  1 iTCO_wdt
cdc_acm                30362  64 
arc4                   12543  2 
ath9k                 103916  0 
ath9k_common           21746  1 ath9k
ath9k_hw              395317  2 ath9k_common,ath9k
ath                    26026  3 ath9k_common,ath9k,ath9k_hw
mac80211              495285  1 ath9k
cfg80211              417111  4 ath,ath9k_common,ath9k,mac80211
chromeos_laptop        12870  0 
x86_pkg_temp_thermal    12951  0 
intel_powerclamp       17159  0 
intel_rapl             17344  0 
rfkill                 18902  3 cfg80211,bluetooth
coretemp               12820  0 
kvm_intel             139247  0 
evdev                  17489  16 
kvm                   397064  1 kvm_intel
serio_raw              12849  0 
pcspkr                 12595  0 
snd_hda_codec_realtek    67431  1 
snd_hda_codec_generic    63121  1 snd_hda_codec_realtek
i2c_i801               16964  0 
i915                  882611  6 
ac                     12715  0 
battery                13356  0 
tpm_tis                17228  0 
tpm                    31511  2 tpm_tis,tpm_infineon
snd_hda_intel          26387  9 
snd_hda_controller     26846  1 snd_hda_intel
i2c_designware_platform    12645  0 
snd_hda_codec         108305  5 snd_hda_codec_realtek,snd_hda_codec_hdmi,snd_hda_codec_generic,snd_hda_intel,snd_hda_controller
video                  18078  1 i915
drm_kms_helper         76992  1 i915
snd_hwdep              13148  1 snd_hda_codec
drm                   250805  5 i915,drm_kms_helper
snd_pcm                88538  8 snd_hda_codec_hdmi,snd_hda_codec,snd_hda_intel,snd_hda_controller
i2c_designware_pci     12611  0 
snd_timer              26606  5 snd_pcm
button                 12988  1 i915
lpc_ich                20768  0 
mfd_core               12601  1 lpc_ich
i2c_designware_core    12813  2 i2c_designware_pci,i2c_designware_platform
snd                    61141  18 snd_hda_codec_realtek,snd_hwdep,snd_timer,snd_hda_codec_hdmi,snd_pcm,snd_hda_codec_generic,snd_hda_codec,snd_hda_intel
i2c_algo_bit           12751  1 i915
soundcore              13026  2 snd,snd_hda_codec
i2c_core               41953  11 drm,i2c_designware_pci,i915,i2c_i801,cyapa,i2c_designware_platform,drm_kms_helper,i2c_algo_bit,v4l2_common,chromeos_laptop,videodev
shpchp                 35217  0 
processor              28221  0 
loop                   26563  0 
fuse                   83483  3 
parport_pc             26287  0 
ppdev                  16782  0 
lp                     17074  0 
parport                35699  3 lp,ppdev,parport_pc
autofs4                35529  2 
ext4                  482056  2 
crc16                  12343  2 ext4,bluetooth
mbcache                17171  1 ext4
jbd2                   82502  1 ext4
xts                    12679  1 
gf128mul               12970  1 xts
algif_skcipher         17104  0 
af_alg                 12988  1 algif_skcipher
dm_crypt               22731  1 
dm_mod                 85229  9 dm_crypt
sg                     29919  0 
sd_mod                 44398  3 
crct10dif_pclmul       13348  0 
crc32_pclmul           12915  0 
crc32c_intel           21809  0 
ghash_clmulni_intel    12978  0 
cryptd                 14560  1 ghash_clmulni_intel
fan                    12681  0 
sdhci_acpi             12810  0 
sdhci                  35199  1 sdhci_acpi
mmc_core               98144  2 sdhci,sdhci_acpi
thermal                17559  0 
thermal_sys            27685  6 fan,video,intel_powerclamp,thermal,processor,x86_pkg_temp_thermal
xhci_hcd              152977  0 
ahci                   33291  2 
libahci                27145  1 ahci
libata                173215  2 ahci,libahci
usbcore               191356  9 uas,ath3k,btusb,usblp,uvcvideo,usb_storage,usbhid,cdc_acm,xhci_hcd
usb_common             12440  1 usbcore
scsi_mod              195762  5 sg,uas,usb_storage,libata,sd_mod
 (2015-04-25T21:54:20+00:00)

PCI IDWorks?VendorDeviceDriverKernel
80860a04Intel CorporationHaswell-ULT DRAM Controller
80860a06Intel CorporationHaswell-ULT Integrated Graphics Controller
80860a0cIntel CorporationHaswell-ULT HD Audio Controller
80869c31Intel Corporation8 Series USB xHCI HC
80869c60Intel Corporation8 Series Low Power Sub-System DMA
80869c61Intel Corporation8 Series I2C Controller #0
80869c62Intel Corporation8 Series I2C Controller #1
80869c20Intel Corporation8 Series HD Audio Controller
80869c10Intel Corporation8 Series PCI Express Root Port 1
80869c26Intel Corporation8 Series USB EHCI #1
80869c45Intel Corporation8 Series LPC Controller
80869c03Intel Corporation8 Series SATA Controller 1 [AHCI mode]
80869c22YesIntel Corporation8 Series SMBus Controlleri2c-i801
80869c24Intel Corporation8 Series Thermal
168c0034YesQualcomm AtherosAR9462 Wireless Network Adapterath9k

Touchpad needs the following patches: https://patchwork.kernel.org/bundle/bleung/chromeos-laptop-deferring-and-haswell/ (2014-03-09T06:31:38+00:00)