sid (unstable): 5.3.9-3
buster (testing): 4.19.67-2+deb10u2
stretch (stable): 4.9.189-3+deb9u2
jessie (oldstable): 3.16.76-1

Debian GNU/Linux device driver check & report

Acer: Aspire 3003 lmi

PCI IDWorks?VendorDeviceDriverKernel
10390760YesSilicon Integrated Systems [SiS]760/M760 Hostamd64-agp
10390002YesSilicon Integrated Systems [SiS]SG86C202ignore
10390963Silicon Integrated Systems [SiS]SiS963 [MuTIOL Media IO]
10390016YesSilicon Integrated Systems [SiS]SiS961/2 SMBus Controlleri2c-sis96xv2.6.25-
10395513YesSilicon Integrated Systems [SiS]5513 [IDE]pata_sisv2.6.25-
10397013YesSilicon Integrated Systems [SiS]AC'97 Modem Controllersnd-intel8x0mv2.6.25-
10397012YesSilicon Integrated Systems [SiS]AC'97 Sound Controllersnd-intel8x0v2.6.25-
10397001YesSilicon Integrated Systems [SiS]USB 1.1 Controllerusb-ohci,ohci-hcd
10397001YesSilicon Integrated Systems [SiS]USB 1.1 Controllerusb-ohci,ohci-hcd
10397002YesSilicon Integrated Systems [SiS]USB 2.0 Controllerusb-ehci,ehci-hcd
10390900YesSilicon Integrated Systems [SiS]SiS900 PCI Fast Ethernetsis900v2.6.25-
104cac50YesTexas InstrumentsPCI1410 PC card Cardbus Controlleryenta_socketv2.6.25-
14e44318YesBroadcom CorporationBCM4318 [AirForce One 54g] 802.11g Wireless LAN Controllerssbv2.6.25-
10221100Advanced Micro Devices [AMD]K8 [Athlon64/Opteron] HyperTransport Technology Configuration
10221101Advanced Micro Devices [AMD]K8 [Athlon64/Opteron] Address Map
10221102Advanced Micro Devices [AMD]K8 [Athlon64/Opteron] DRAM Controller
10221103YesAdvanced Micro Devices [AMD]K8 [Athlon64/Opteron] Miscellaneous Controlk8tempv2.6.25-
10396330YesSilicon Integrated Systems [SiS]661/741/760 PCI/AGP or 662/761Gx PCIE VGA Display Adaptersisfbv2.6.25-

After the Ubuntu 5.10 "Breezy Badger" installation everything worked fine, except the battery monitoring and wi-fi. The first one was solved after some minutes of "googling", changing the original dsdt.aml for a fixed version. The Broadcom Wireless works with ndiswrapper. As I have said, this  box runs flawlessly.
Regards, Justin (Spain)