Depends on what accessories you want to get and which model you are trying to match it too. Sticking with the same generation, the US and JDM models variants are very similar dimensionally. Some things, like lamp housings (rear tail lamps) are swappable, though the electrical systems are slightly different. The US car may not like the LEDs of the JDM Altis model. Also the LHD to RHD distinction between the models, will make some accessories not work. Grills should fit, bumpers may or may not fit, dependings on the options (fogs). Most body kits can be made to fit, some modifications will be necessary as not all the bodies will have the same hole/clip locations.
2002 Corolla S, Silverstream, 1.8L 1ZZ-FE (VVT-i)
2003 Matrix XRS, Cosmic Blue, 1.8L 2ZZ-GE (VVTL-i) - RIP
2009 Matrix XRS, Blue Streak, 2.4L 2AZ-FE (VVT-i)